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Finding the Fourth Proportional to 1,129.32, 1,694.05 and 307.58

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Solution

The fourth proportional to 1,129.32, 1,694.05 and 307.58 is: 461.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.32 : 1,694.05 = 307.58 : x
  2. Step 2: Convert to fraction form
    1,129.32/1,694.05 = 307.58/x
  3. Step 3: Cross multiply
    1,129.32x = 1,694.05 × 307.58
  4. Step 4: Simplify right side
    1,129.32x = 521,046.66
  5. Step 5: Solve for x
    x = 521,046.66/1,129.32
  6. Step 6: Final answer
    x = 461.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.