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Finding the Fourth Proportional to 1,336.88, 2,006.12 and 471.80

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Solution

The fourth proportional to 1,336.88, 2,006.12 and 471.80 is: 707.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.88 : 2,006.12 = 471.80 : x
  2. Step 2: Convert to fraction form
    1,336.88/2,006.12 = 471.80/x
  3. Step 3: Cross multiply
    1,336.88x = 2,006.12 × 471.80
  4. Step 4: Simplify right side
    1,336.88x = 946,487.42
  5. Step 5: Solve for x
    x = 946,487.42/1,336.88
  6. Step 6: Final answer
    x = 707.98

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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.