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Finding the Fourth Proportional to 724.11, 1,084.65 and 435.39

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Solution

The fourth proportional to 724.11, 1,084.65 and 435.39 is: 652.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.11 : 1,084.65 = 435.39 : x
  2. Step 2: Convert to fraction form
    724.11/1,084.65 = 435.39/x
  3. Step 3: Cross multiply
    724.11x = 1,084.65 × 435.39
  4. Step 4: Simplify right side
    724.11x = 472,245.76
  5. Step 5: Solve for x
    x = 472,245.76/724.11
  6. Step 6: Final answer
    x = 652.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.