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Finding the Fourth Proportional to 1,060.43, 1,461.86 and 744.73

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Solution

The fourth proportional to 1,060.43, 1,461.86 and 744.73 is: 1,026.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.43 : 1,461.86 = 744.73 : x
  2. Step 2: Convert to fraction form
    1,060.43/1,461.86 = 744.73/x
  3. Step 3: Cross multiply
    1,060.43x = 1,461.86 × 744.73
  4. Step 4: Simplify right side
    1,060.43x = 1,088,691.00
  5. Step 5: Solve for x
    x = 1,088,691.00/1,060.43
  6. Step 6: Final answer
    x = 1,026.65

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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.