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Finding the Fourth Proportional to 1,630.31, 2,444.87 and 590.04

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Solution

The fourth proportional to 1,630.31, 2,444.87 and 590.04 is: 884.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.31 : 2,444.87 = 590.04 : x
  2. Step 2: Convert to fraction form
    1,630.31/2,444.87 = 590.04/x
  3. Step 3: Cross multiply
    1,630.31x = 2,444.87 × 590.04
  4. Step 4: Simplify right side
    1,630.31x = 1,442,572.57
  5. Step 5: Solve for x
    x = 1,442,572.57/1,630.31
  6. Step 6: Final answer
    x = 884.85

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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.