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Finding the Fourth Proportional to 1,129.77, 1,694.68 and 308.07

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Solution

The fourth proportional to 1,129.77, 1,694.68 and 308.07 is: 462.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.77 : 1,694.68 = 308.07 : x
  2. Step 2: Convert to fraction form
    1,129.77/1,694.68 = 308.07/x
  3. Step 3: Cross multiply
    1,129.77x = 1,694.68 × 308.07
  4. Step 4: Simplify right side
    1,129.77x = 522,079.30
  5. Step 5: Solve for x
    x = 522,079.30/1,129.77
  6. Step 6: Final answer
    x = 462.11

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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.