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Finding the Fourth Proportional to 1,127.67, 1,691.40 and 306.03

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Solution

The fourth proportional to 1,127.67, 1,691.40 and 306.03 is: 459.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.67 : 1,691.40 = 306.03 : x
  2. Step 2: Convert to fraction form
    1,127.67/1,691.40 = 306.03/x
  3. Step 3: Cross multiply
    1,127.67x = 1,691.40 × 306.03
  4. Step 4: Simplify right side
    1,127.67x = 517,619.14
  5. Step 5: Solve for x
    x = 517,619.14/1,127.67
  6. Step 6: Final answer
    x = 459.02

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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.