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Finding the Fourth Proportional to 913.13, 1,260.14 and 520.16

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Solution

The fourth proportional to 913.13, 1,260.14 and 520.16 is: 717.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.13 : 1,260.14 = 520.16 : x
  2. Step 2: Convert to fraction form
    913.13/1,260.14 = 520.16/x
  3. Step 3: Cross multiply
    913.13x = 1,260.14 × 520.16
  4. Step 4: Simplify right side
    913.13x = 655,471.82
  5. Step 5: Solve for x
    x = 655,471.82/913.13
  6. Step 6: Final answer
    x = 717.83

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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.