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Finding the Fourth Proportional to 924.13, 1,275.24 and 531.01

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Solution

The fourth proportional to 924.13, 1,275.24 and 531.01 is: 732.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.13 : 1,275.24 = 531.01 : x
  2. Step 2: Convert to fraction form
    924.13/1,275.24 = 531.01/x
  3. Step 3: Cross multiply
    924.13x = 1,275.24 × 531.01
  4. Step 4: Simplify right side
    924.13x = 677,165.19
  5. Step 5: Solve for x
    x = 677,165.19/924.13
  6. Step 6: Final answer
    x = 732.76

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Why These Related Problems?

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