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Finding the Fourth Proportional to 1,158.82, 1,599.18 and 661.43

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Solution

The fourth proportional to 1,158.82, 1,599.18 and 661.43 is: 912.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.82 : 1,599.18 = 661.43 : x
  2. Step 2: Convert to fraction form
    1,158.82/1,599.18 = 661.43/x
  3. Step 3: Cross multiply
    1,158.82x = 1,599.18 × 661.43
  4. Step 4: Simplify right side
    1,158.82x = 1,057,745.63
  5. Step 5: Solve for x
    x = 1,057,745.63/1,158.82
  6. Step 6: Final answer
    x = 912.78

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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.