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Finding the Fourth Proportional to 1,031.44, 1,545.90 and 544.18

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Solution

The fourth proportional to 1,031.44, 1,545.90 and 544.18 is: 815.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.44 : 1,545.90 = 544.18 : x
  2. Step 2: Convert to fraction form
    1,031.44/1,545.90 = 544.18/x
  3. Step 3: Cross multiply
    1,031.44x = 1,545.90 × 544.18
  4. Step 4: Simplify right side
    1,031.44x = 841,247.86
  5. Step 5: Solve for x
    x = 841,247.86/1,031.44
  6. Step 6: Final answer
    x = 815.61

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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.