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Finding the Fourth Proportional to 1,146.81, 1,582.29 and 997.19

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Solution

The fourth proportional to 1,146.81, 1,582.29 and 997.19 is: 1,375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.81 : 1,582.29 = 997.19 : x
  2. Step 2: Convert to fraction form
    1,146.81/1,582.29 = 997.19/x
  3. Step 3: Cross multiply
    1,146.81x = 1,582.29 × 997.19
  4. Step 4: Simplify right side
    1,146.81x = 1,577,843.77
  5. Step 5: Solve for x
    x = 1,577,843.77/1,146.81
  6. Step 6: Final answer
    x = 1,375.85

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Why These Related Problems?

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