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Finding the Fourth Proportional to 1,337.85, 2,006.71 and 414.05

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Solution

The fourth proportional to 1,337.85, 2,006.71 and 414.05 is: 621.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.85 : 2,006.71 = 414.05 : x
  2. Step 2: Convert to fraction form
    1,337.85/2,006.71 = 414.05/x
  3. Step 3: Cross multiply
    1,337.85x = 2,006.71 × 414.05
  4. Step 4: Simplify right side
    1,337.85x = 830,867.21
  5. Step 5: Solve for x
    x = 830,867.21/1,337.85
  6. Step 6: Final answer
    x = 621.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.