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Finding the Fourth Proportional to 809.53, 1,117.14 and 455.47

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Solution

The fourth proportional to 809.53, 1,117.14 and 455.47 is: 628.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.53 : 1,117.14 = 455.47 : x
  2. Step 2: Convert to fraction form
    809.53/1,117.14 = 455.47/x
  3. Step 3: Cross multiply
    809.53x = 1,117.14 × 455.47
  4. Step 4: Simplify right side
    809.53x = 508,823.76
  5. Step 5: Solve for x
    x = 508,823.76/809.53
  6. Step 6: Final answer
    x = 628.54

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Double scale
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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.