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Finding the Fourth Proportional to 1,202.29, 1,656.71 and 1,126.96

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Solution

The fourth proportional to 1,202.29, 1,656.71 and 1,126.96 is: 1,552.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.29 : 1,656.71 = 1,126.96 : x
  2. Step 2: Convert to fraction form
    1,202.29/1,656.71 = 1,126.96/x
  3. Step 3: Cross multiply
    1,202.29x = 1,656.71 × 1,126.96
  4. Step 4: Simplify right side
    1,202.29x = 1,867,045.90
  5. Step 5: Solve for x
    x = 1,867,045.90/1,202.29
  6. Step 6: Final answer
    x = 1,552.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.