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Finding the Fourth Proportional to 1,078.31, 1,617.63 and 462.02

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Solution

The fourth proportional to 1,078.31, 1,617.63 and 462.02 is: 693.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.31 : 1,617.63 = 462.02 : x
  2. Step 2: Convert to fraction form
    1,078.31/1,617.63 = 462.02/x
  3. Step 3: Cross multiply
    1,078.31x = 1,617.63 × 462.02
  4. Step 4: Simplify right side
    1,078.31x = 747,377.41
  5. Step 5: Solve for x
    x = 747,377.41/1,078.31
  6. Step 6: Final answer
    x = 693.10

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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.