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Finding the Fourth Proportional to 717.35, 1,074.20 and 473.14

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Solution

The fourth proportional to 717.35, 1,074.20 and 473.14 is: 708.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.35 : 1,074.20 = 473.14 : x
  2. Step 2: Convert to fraction form
    717.35/1,074.20 = 473.14/x
  3. Step 3: Cross multiply
    717.35x = 1,074.20 × 473.14
  4. Step 4: Simplify right side
    717.35x = 508,246.99
  5. Step 5: Solve for x
    x = 508,246.99/717.35
  6. Step 6: Final answer
    x = 708.51

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.