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Finding the Fourth Proportional to 1,129.47, 1,694.09 and 307.83

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Solution

The fourth proportional to 1,129.47, 1,694.09 and 307.83 is: 461.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.47 : 1,694.09 = 307.83 : x
  2. Step 2: Convert to fraction form
    1,129.47/1,694.09 = 307.83/x
  3. Step 3: Cross multiply
    1,129.47x = 1,694.09 × 307.83
  4. Step 4: Simplify right side
    1,129.47x = 521,490.19
  5. Step 5: Solve for x
    x = 521,490.19/1,129.47
  6. Step 6: Final answer
    x = 461.71

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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.