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Finding the Fourth Proportional to 1,471.80, 2,207.69 and 497.90

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Solution

The fourth proportional to 1,471.80, 2,207.69 and 497.90 is: 746.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.80 : 2,207.69 = 497.90 : x
  2. Step 2: Convert to fraction form
    1,471.80/2,207.69 = 497.90/x
  3. Step 3: Cross multiply
    1,471.80x = 2,207.69 × 497.90
  4. Step 4: Simplify right side
    1,471.80x = 1,099,195.32
  5. Step 5: Solve for x
    x = 1,099,195.32/1,471.80
  6. Step 6: Final answer
    x = 746.84

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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.