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Finding the Fourth Proportional to 1,129.84, 1,695.66 and 481.02

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Solution

The fourth proportional to 1,129.84, 1,695.66 and 481.02 is: 721.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.84 : 1,695.66 = 481.02 : x
  2. Step 2: Convert to fraction form
    1,129.84/1,695.66 = 481.02/x
  3. Step 3: Cross multiply
    1,129.84x = 1,695.66 × 481.02
  4. Step 4: Simplify right side
    1,129.84x = 815,646.37
  5. Step 5: Solve for x
    x = 815,646.37/1,129.84
  6. Step 6: Final answer
    x = 721.91

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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.