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Finding the Fourth Proportional to 1,760.85, 2,641.14 and 462.29

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Solution

The fourth proportional to 1,760.85, 2,641.14 and 462.29 is: 693.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.85 : 2,641.14 = 462.29 : x
  2. Step 2: Convert to fraction form
    1,760.85/2,641.14 = 462.29/x
  3. Step 3: Cross multiply
    1,760.85x = 2,641.14 × 462.29
  4. Step 4: Simplify right side
    1,760.85x = 1,220,959.40
  5. Step 5: Solve for x
    x = 1,220,959.40/1,760.85
  6. Step 6: Final answer
    x = 693.39

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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.