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Finding the Fourth Proportional to 1,126.38, 1,689.43 and 304.60

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Solution

The fourth proportional to 1,126.38, 1,689.43 and 304.60 is: 456.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.38 : 1,689.43 = 304.60 : x
  2. Step 2: Convert to fraction form
    1,126.38/1,689.43 = 304.60/x
  3. Step 3: Cross multiply
    1,126.38x = 1,689.43 × 304.60
  4. Step 4: Simplify right side
    1,126.38x = 514,600.38
  5. Step 5: Solve for x
    x = 514,600.38/1,126.38
  6. Step 6: Final answer
    x = 456.86

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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.