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Finding the Fourth Proportional to 1,404.50, 1,937.34 and 844.61

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Solution

The fourth proportional to 1,404.50, 1,937.34 and 844.61 is: 1,165.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.50 : 1,937.34 = 844.61 : x
  2. Step 2: Convert to fraction form
    1,404.50/1,937.34 = 844.61/x
  3. Step 3: Cross multiply
    1,404.50x = 1,937.34 × 844.61
  4. Step 4: Simplify right side
    1,404.50x = 1,636,287.05
  5. Step 5: Solve for x
    x = 1,636,287.05/1,404.50
  6. Step 6: Final answer
    x = 1,165.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.