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Finding the Fourth Proportional to 1,024.44, 1,412.46 and 747.96

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Solution

The fourth proportional to 1,024.44, 1,412.46 and 747.96 is: 1,031.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.44 : 1,412.46 = 747.96 : x
  2. Step 2: Convert to fraction form
    1,024.44/1,412.46 = 747.96/x
  3. Step 3: Cross multiply
    1,024.44x = 1,412.46 × 747.96
  4. Step 4: Simplify right side
    1,024.44x = 1,056,463.58
  5. Step 5: Solve for x
    x = 1,056,463.58/1,024.44
  6. Step 6: Final answer
    x = 1,031.26

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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.