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Finding the Fourth Proportional to 931.47, 1,285.43 and 517.47

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Solution

The fourth proportional to 931.47, 1,285.43 and 517.47 is: 714.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.47 : 1,285.43 = 517.47 : x
  2. Step 2: Convert to fraction form
    931.47/1,285.43 = 517.47/x
  3. Step 3: Cross multiply
    931.47x = 1,285.43 × 517.47
  4. Step 4: Simplify right side
    931.47x = 665,168.87
  5. Step 5: Solve for x
    x = 665,168.87/931.47
  6. Step 6: Final answer
    x = 714.11

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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.