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Finding the Fourth Proportional to 724.13, 1,084.86 and 646.32

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Solution

The fourth proportional to 724.13, 1,084.86 and 646.32 is: 968.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.13 : 1,084.86 = 646.32 : x
  2. Step 2: Convert to fraction form
    724.13/1,084.86 = 646.32/x
  3. Step 3: Cross multiply
    724.13x = 1,084.86 × 646.32
  4. Step 4: Simplify right side
    724.13x = 701,166.72
  5. Step 5: Solve for x
    x = 701,166.72/724.13
  6. Step 6: Final answer
    x = 968.30

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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.