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Finding the Fourth Proportional to 1,126.49, 1,689.60 and 304.75

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Solution

The fourth proportional to 1,126.49, 1,689.60 and 304.75 is: 457.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.49 : 1,689.60 = 304.75 : x
  2. Step 2: Convert to fraction form
    1,126.49/1,689.60 = 304.75/x
  3. Step 3: Cross multiply
    1,126.49x = 1,689.60 × 304.75
  4. Step 4: Simplify right side
    1,126.49x = 514,905.60
  5. Step 5: Solve for x
    x = 514,905.60/1,126.49
  6. Step 6: Final answer
    x = 457.09

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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.