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Finding the Fourth Proportional to 1,029.60, 1,543.05 and 412.80

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Solution

The fourth proportional to 1,029.60, 1,543.05 and 412.80 is: 618.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.60 : 1,543.05 = 412.80 : x
  2. Step 2: Convert to fraction form
    1,029.60/1,543.05 = 412.80/x
  3. Step 3: Cross multiply
    1,029.60x = 1,543.05 × 412.80
  4. Step 4: Simplify right side
    1,029.60x = 636,971.04
  5. Step 5: Solve for x
    x = 636,971.04/1,029.60
  6. Step 6: Final answer
    x = 618.66

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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.