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Finding the Fourth Proportional to 1,029.40, 1,543.02 and 664.96

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Solution

The fourth proportional to 1,029.40, 1,543.02 and 664.96 is: 996.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.40 : 1,543.02 = 664.96 : x
  2. Step 2: Convert to fraction form
    1,029.40/1,543.02 = 664.96/x
  3. Step 3: Cross multiply
    1,029.40x = 1,543.02 × 664.96
  4. Step 4: Simplify right side
    1,029.40x = 1,026,046.58
  5. Step 5: Solve for x
    x = 1,026,046.58/1,029.40
  6. Step 6: Final answer
    x = 996.74

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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.