Home / 1,029.20-1,543.05-412.60

Finding the Fourth Proportional to 1,029.20, 1,543.05 and 412.60

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Solution

The fourth proportional to 1,029.20, 1,543.05 and 412.60 is: 618.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.20 : 1,543.05 = 412.60 : x
  2. Step 2: Convert to fraction form
    1,029.20/1,543.05 = 412.60/x
  3. Step 3: Cross multiply
    1,029.20x = 1,543.05 × 412.60
  4. Step 4: Simplify right side
    1,029.20x = 636,662.43
  5. Step 5: Solve for x
    x = 636,662.43/1,029.20
  6. Step 6: Final answer
    x = 618.60

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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.