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Finding the Fourth Proportional to 1,029.78, 1,546.56 and 924.12

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Solution

The fourth proportional to 1,029.78, 1,546.56 and 924.12 is: 1,387.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.78 : 1,546.56 = 924.12 : x
  2. Step 2: Convert to fraction form
    1,029.78/1,546.56 = 924.12/x
  3. Step 3: Cross multiply
    1,029.78x = 1,546.56 × 924.12
  4. Step 4: Simplify right side
    1,029.78x = 1,429,207.03
  5. Step 5: Solve for x
    x = 1,429,207.03/1,029.78
  6. Step 6: Final answer
    x = 1,387.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.