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Finding the Fourth Proportional to 1,029.15, 1,543.73 and 412.61

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Solution

The fourth proportional to 1,029.15, 1,543.73 and 412.61 is: 618.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.15 : 1,543.73 = 412.61 : x
  2. Step 2: Convert to fraction form
    1,029.15/1,543.73 = 412.61/x
  3. Step 3: Cross multiply
    1,029.15x = 1,543.73 × 412.61
  4. Step 4: Simplify right side
    1,029.15x = 636,948.65
  5. Step 5: Solve for x
    x = 636,948.65/1,029.15
  6. Step 6: Final answer
    x = 618.91

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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.