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Finding the Fourth Proportional to 1,404.05, 1,937.58 and 814.70

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Solution

The fourth proportional to 1,404.05, 1,937.58 and 814.70 is: 1,124.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.05 : 1,937.58 = 814.70 : x
  2. Step 2: Convert to fraction form
    1,404.05/1,937.58 = 814.70/x
  3. Step 3: Cross multiply
    1,404.05x = 1,937.58 × 814.70
  4. Step 4: Simplify right side
    1,404.05x = 1,578,536.74
  5. Step 5: Solve for x
    x = 1,578,536.74/1,404.05
  6. Step 6: Final answer
    x = 1,124.28

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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.