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Finding the Fourth Proportional to 1,432.80, 2,149.01 and 651.96

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Solution

The fourth proportional to 1,432.80, 2,149.01 and 651.96 is: 977.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.80 : 2,149.01 = 651.96 : x
  2. Step 2: Convert to fraction form
    1,432.80/2,149.01 = 651.96/x
  3. Step 3: Cross multiply
    1,432.80x = 2,149.01 × 651.96
  4. Step 4: Simplify right side
    1,432.80x = 1,401,059.87
  5. Step 5: Solve for x
    x = 1,401,059.87/1,432.80
  6. Step 6: Final answer
    x = 977.85

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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.