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Finding the Fourth Proportional to 1,158.25, 1,598.40 and 660.88

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Solution

The fourth proportional to 1,158.25, 1,598.40 and 660.88 is: 912.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.25 : 1,598.40 = 660.88 : x
  2. Step 2: Convert to fraction form
    1,158.25/1,598.40 = 660.88/x
  3. Step 3: Cross multiply
    1,158.25x = 1,598.40 × 660.88
  4. Step 4: Simplify right side
    1,158.25x = 1,056,350.59
  5. Step 5: Solve for x
    x = 1,056,350.59/1,158.25
  6. Step 6: Final answer
    x = 912.02

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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.