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Finding the Fourth Proportional to 809.34, 1,117.17 and 477.72

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Solution

The fourth proportional to 809.34, 1,117.17 and 477.72 is: 659.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.34 : 1,117.17 = 477.72 : x
  2. Step 2: Convert to fraction form
    809.34/1,117.17 = 477.72/x
  3. Step 3: Cross multiply
    809.34x = 1,117.17 × 477.72
  4. Step 4: Simplify right side
    809.34x = 533,696.25
  5. Step 5: Solve for x
    x = 533,696.25/809.34
  6. Step 6: Final answer
    x = 659.42

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Half scale
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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.