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Finding the Fourth Proportional to 913.14, 1,259.91 and 520.38

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Solution

The fourth proportional to 913.14, 1,259.91 and 520.38 is: 718.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.14 : 1,259.91 = 520.38 : x
  2. Step 2: Convert to fraction form
    913.14/1,259.91 = 520.38/x
  3. Step 3: Cross multiply
    913.14x = 1,259.91 × 520.38
  4. Step 4: Simplify right side
    913.14x = 655,631.97
  5. Step 5: Solve for x
    x = 655,631.97/913.14
  6. Step 6: Final answer
    x = 718.00

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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.