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Finding the Fourth Proportional to 1,129.28, 1,693.87 and 470.89

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Solution

The fourth proportional to 1,129.28, 1,693.87 and 470.89 is: 706.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.28 : 1,693.87 = 470.89 : x
  2. Step 2: Convert to fraction form
    1,129.28/1,693.87 = 470.89/x
  3. Step 3: Cross multiply
    1,129.28x = 1,693.87 × 470.89
  4. Step 4: Simplify right side
    1,129.28x = 797,622.21
  5. Step 5: Solve for x
    x = 797,622.21/1,129.28
  6. Step 6: Final answer
    x = 706.31

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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.