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Finding the Fourth Proportional to 1,129.61, 1,694.24 and 307.89

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Solution

The fourth proportional to 1,129.61, 1,694.24 and 307.89 is: 461.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.61 : 1,694.24 = 307.89 : x
  2. Step 2: Convert to fraction form
    1,129.61/1,694.24 = 307.89/x
  3. Step 3: Cross multiply
    1,129.61x = 1,694.24 × 307.89
  4. Step 4: Simplify right side
    1,129.61x = 521,637.65
  5. Step 5: Solve for x
    x = 521,637.65/1,129.61
  6. Step 6: Final answer
    x = 461.79

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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.