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Finding the Fourth Proportional to 917.47, 1,265.95 and 519.15

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Solution

The fourth proportional to 917.47, 1,265.95 and 519.15 is: 716.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.47 : 1,265.95 = 519.15 : x
  2. Step 2: Convert to fraction form
    917.47/1,265.95 = 519.15/x
  3. Step 3: Cross multiply
    917.47x = 1,265.95 × 519.15
  4. Step 4: Simplify right side
    917.47x = 657,217.94
  5. Step 5: Solve for x
    x = 657,217.94/917.47
  6. Step 6: Final answer
    x = 716.34

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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.