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Finding the Fourth Proportional to 1,129.81, 1,694.87 and 349.87

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Solution

The fourth proportional to 1,129.81, 1,694.87 and 349.87 is: 524.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.81 : 1,694.87 = 349.87 : x
  2. Step 2: Convert to fraction form
    1,129.81/1,694.87 = 349.87/x
  3. Step 3: Cross multiply
    1,129.81x = 1,694.87 × 349.87
  4. Step 4: Simplify right side
    1,129.81x = 592,984.17
  5. Step 5: Solve for x
    x = 592,984.17/1,129.81
  6. Step 6: Final answer
    x = 524.85

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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.