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Finding the Fourth Proportional to 724.47, 1,084.00 and 430.90

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Solution

The fourth proportional to 724.47, 1,084.00 and 430.90 is: 644.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.47 : 1,084.00 = 430.90 : x
  2. Step 2: Convert to fraction form
    724.47/1,084.00 = 430.90/x
  3. Step 3: Cross multiply
    724.47x = 1,084.00 × 430.90
  4. Step 4: Simplify right side
    724.47x = 467,093.45
  5. Step 5: Solve for x
    x = 467,093.45/724.47
  6. Step 6: Final answer
    x = 644.74

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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.