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Finding the Fourth Proportional to 1,337.42, 2,006.40 and 471.80

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Solution

The fourth proportional to 1,337.42, 2,006.40 and 471.80 is: 707.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.42 : 2,006.40 = 471.80 : x
  2. Step 2: Convert to fraction form
    1,337.42/2,006.40 = 471.80/x
  3. Step 3: Cross multiply
    1,337.42x = 2,006.40 × 471.80
  4. Step 4: Simplify right side
    1,337.42x = 946,609.49
  5. Step 5: Solve for x
    x = 946,609.49/1,337.42
  6. Step 6: Final answer
    x = 707.79

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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.