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Finding the Fourth Proportional to 1,044.14, 1,567.87 and 914.74

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Solution

The fourth proportional to 1,044.14, 1,567.87 and 914.74 is: 1,373.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.14 : 1,567.87 = 914.74 : x
  2. Step 2: Convert to fraction form
    1,044.14/1,567.87 = 914.74/x
  3. Step 3: Cross multiply
    1,044.14x = 1,567.87 × 914.74
  4. Step 4: Simplify right side
    1,044.14x = 1,434,187.20
  5. Step 5: Solve for x
    x = 1,434,187.20/1,044.14
  6. Step 6: Final answer
    x = 1,373.56

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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.