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Finding the Fourth Proportional to 924.57, 1,275.18 and 593.02

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Solution

The fourth proportional to 924.57, 1,275.18 and 593.02 is: 817.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.57 : 1,275.18 = 593.02 : x
  2. Step 2: Convert to fraction form
    924.57/1,275.18 = 593.02/x
  3. Step 3: Cross multiply
    924.57x = 1,275.18 × 593.02
  4. Step 4: Simplify right side
    924.57x = 756,207.24
  5. Step 5: Solve for x
    x = 756,207.24/924.57
  6. Step 6: Final answer
    x = 817.90

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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.