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Finding the Fourth Proportional to 731.91, 1,009.74 and 451.85

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Solution

The fourth proportional to 731.91, 1,009.74 and 451.85 is: 623.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.91 : 1,009.74 = 451.85 : x
  2. Step 2: Convert to fraction form
    731.91/1,009.74 = 451.85/x
  3. Step 3: Cross multiply
    731.91x = 1,009.74 × 451.85
  4. Step 4: Simplify right side
    731.91x = 456,254.91
  5. Step 5: Solve for x
    x = 456,254.91/731.91
  6. Step 6: Final answer
    x = 623.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.