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Finding the Fourth Proportional to 924.48, 1,275.84 and 531.56

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Solution

The fourth proportional to 924.48, 1,275.84 and 531.56 is: 733.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.48 : 1,275.84 = 531.56 : x
  2. Step 2: Convert to fraction form
    924.48/1,275.84 = 531.56/x
  3. Step 3: Cross multiply
    924.48x = 1,275.84 × 531.56
  4. Step 4: Simplify right side
    924.48x = 678,188.70
  5. Step 5: Solve for x
    x = 678,188.70/924.48
  6. Step 6: Final answer
    x = 733.59

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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.