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Finding the Fourth Proportional to 913.14, 1,259.97 and 520.10

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Solution

The fourth proportional to 913.14, 1,259.97 and 520.10 is: 717.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.14 : 1,259.97 = 520.10 : x
  2. Step 2: Convert to fraction form
    913.14/1,259.97 = 520.10/x
  3. Step 3: Cross multiply
    913.14x = 1,259.97 × 520.10
  4. Step 4: Simplify right side
    913.14x = 655,304.10
  5. Step 5: Solve for x
    x = 655,304.10/913.14
  6. Step 6: Final answer
    x = 717.64

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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.