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Finding the Fourth Proportional to 724.93, 1,088.40 and 378.52

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Solution

The fourth proportional to 724.93, 1,088.40 and 378.52 is: 568.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.93 : 1,088.40 = 378.52 : x
  2. Step 2: Convert to fraction form
    724.93/1,088.40 = 378.52/x
  3. Step 3: Cross multiply
    724.93x = 1,088.40 × 378.52
  4. Step 4: Simplify right side
    724.93x = 411,981.17
  5. Step 5: Solve for x
    x = 411,981.17/724.93
  6. Step 6: Final answer
    x = 568.30

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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.