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Finding the Fourth Proportional to 715.96, 987.15 and 519.40

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Solution

The fourth proportional to 715.96, 987.15 and 519.40 is: 716.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.96 : 987.15 = 519.40 : x
  2. Step 2: Convert to fraction form
    715.96/987.15 = 519.40/x
  3. Step 3: Cross multiply
    715.96x = 987.15 × 519.40
  4. Step 4: Simplify right side
    715.96x = 512,725.71
  5. Step 5: Solve for x
    x = 512,725.71/715.96
  6. Step 6: Final answer
    x = 716.14

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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.