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Finding the Fourth Proportional to 913.71, 1,260.99 and 520.76

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Solution

The fourth proportional to 913.71, 1,260.99 and 520.76 is: 718.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.71 : 1,260.99 = 520.76 : x
  2. Step 2: Convert to fraction form
    913.71/1,260.99 = 520.76/x
  3. Step 3: Cross multiply
    913.71x = 1,260.99 × 520.76
  4. Step 4: Simplify right side
    913.71x = 656,673.15
  5. Step 5: Solve for x
    x = 656,673.15/913.71
  6. Step 6: Final answer
    x = 718.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.