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Finding the Fourth Proportional to 724.12, 1,085.88 and 291.16

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Solution

The fourth proportional to 724.12, 1,085.88 and 291.16 is: 436.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.12 : 1,085.88 = 291.16 : x
  2. Step 2: Convert to fraction form
    724.12/1,085.88 = 291.16/x
  3. Step 3: Cross multiply
    724.12x = 1,085.88 × 291.16
  4. Step 4: Simplify right side
    724.12x = 316,164.82
  5. Step 5: Solve for x
    x = 316,164.82/724.12
  6. Step 6: Final answer
    x = 436.62

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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.