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Finding the Fourth Proportional to 809.10, 1,117.47 and 589.03

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Solution

The fourth proportional to 809.10, 1,117.47 and 589.03 is: 813.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.10 : 1,117.47 = 589.03 : x
  2. Step 2: Convert to fraction form
    809.10/1,117.47 = 589.03/x
  3. Step 3: Cross multiply
    809.10x = 1,117.47 × 589.03
  4. Step 4: Simplify right side
    809.10x = 658,223.35
  5. Step 5: Solve for x
    x = 658,223.35/809.10
  6. Step 6: Final answer
    x = 813.53

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.