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Finding the Fourth Proportional to 724.04, 1,085.34 and 463.30

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Solution

The fourth proportional to 724.04, 1,085.34 and 463.30 is: 694.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.04 : 1,085.34 = 463.30 : x
  2. Step 2: Convert to fraction form
    724.04/1,085.34 = 463.30/x
  3. Step 3: Cross multiply
    724.04x = 1,085.34 × 463.30
  4. Step 4: Simplify right side
    724.04x = 502,837.05
  5. Step 5: Solve for x
    x = 502,837.05/724.04
  6. Step 6: Final answer
    x = 694.49

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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.