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Finding the Fourth Proportional to 1,145.70, 1,577.61 and 1,081.62

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Solution

The fourth proportional to 1,145.70, 1,577.61 and 1,081.62 is: 1,489.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.70 : 1,577.61 = 1,081.62 : x
  2. Step 2: Convert to fraction form
    1,145.70/1,577.61 = 1,081.62/x
  3. Step 3: Cross multiply
    1,145.70x = 1,577.61 × 1,081.62
  4. Step 4: Simplify right side
    1,145.70x = 1,706,374.53
  5. Step 5: Solve for x
    x = 1,706,374.53/1,145.70
  6. Step 6: Final answer
    x = 1,489.37

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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.