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Finding the Fourth Proportional to 924.24, 1,275.56 and 592.54

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Solution

The fourth proportional to 924.24, 1,275.56 and 592.54 is: 817.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.24 : 1,275.56 = 592.54 : x
  2. Step 2: Convert to fraction form
    924.24/1,275.56 = 592.54/x
  3. Step 3: Cross multiply
    924.24x = 1,275.56 × 592.54
  4. Step 4: Simplify right side
    924.24x = 755,820.81
  5. Step 5: Solve for x
    x = 755,820.81/924.24
  6. Step 6: Final answer
    x = 817.78

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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.