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Finding the Fourth Proportional to 781.45, 1,078.40 and 432.14

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Solution

The fourth proportional to 781.45, 1,078.40 and 432.14 is: 596.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.45 : 1,078.40 = 432.14 : x
  2. Step 2: Convert to fraction form
    781.45/1,078.40 = 432.14/x
  3. Step 3: Cross multiply
    781.45x = 1,078.40 × 432.14
  4. Step 4: Simplify right side
    781.45x = 466,015.46
  5. Step 5: Solve for x
    x = 466,015.46/781.45
  6. Step 6: Final answer
    x = 596.35

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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.