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Finding the Fourth Proportional to 924.96, 1,275.84 and 729.12

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Solution

The fourth proportional to 924.96, 1,275.84 and 729.12 is: 1,005.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.96 : 1,275.84 = 729.12 : x
  2. Step 2: Convert to fraction form
    924.96/1,275.84 = 729.12/x
  3. Step 3: Cross multiply
    924.96x = 1,275.84 × 729.12
  4. Step 4: Simplify right side
    924.96x = 930,240.46
  5. Step 5: Solve for x
    x = 930,240.46/924.96
  6. Step 6: Final answer
    x = 1,005.71

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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.