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Finding the Fourth Proportional to 1,126.14, 1,689.42 and 346.22

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Solution

The fourth proportional to 1,126.14, 1,689.42 and 346.22 is: 519.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.14 : 1,689.42 = 346.22 : x
  2. Step 2: Convert to fraction form
    1,126.14/1,689.42 = 346.22/x
  3. Step 3: Cross multiply
    1,126.14x = 1,689.42 × 346.22
  4. Step 4: Simplify right side
    1,126.14x = 584,902.55
  5. Step 5: Solve for x
    x = 584,902.55/1,126.14
  6. Step 6: Final answer
    x = 519.39

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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.