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Finding the Fourth Proportional to 1,630.80, 2,446.16 and 460.89

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Solution

The fourth proportional to 1,630.80, 2,446.16 and 460.89 is: 691.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.80 : 2,446.16 = 460.89 : x
  2. Step 2: Convert to fraction form
    1,630.80/2,446.16 = 460.89/x
  3. Step 3: Cross multiply
    1,630.80x = 2,446.16 × 460.89
  4. Step 4: Simplify right side
    1,630.80x = 1,127,408.38
  5. Step 5: Solve for x
    x = 1,127,408.38/1,630.80
  6. Step 6: Final answer
    x = 691.32

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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.