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Finding the Fourth Proportional to 1,158.23, 1,598.12 and 660.85

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Solution

The fourth proportional to 1,158.23, 1,598.12 and 660.85 is: 911.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.23 : 1,598.12 = 660.85 : x
  2. Step 2: Convert to fraction form
    1,158.23/1,598.12 = 660.85/x
  3. Step 3: Cross multiply
    1,158.23x = 1,598.12 × 660.85
  4. Step 4: Simplify right side
    1,158.23x = 1,056,117.60
  5. Step 5: Solve for x
    x = 1,056,117.60/1,158.23
  6. Step 6: Final answer
    x = 911.84

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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.