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Finding the Fourth Proportional to 1,166.32, 1,609.23 and 944.85

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Solution

The fourth proportional to 1,166.32, 1,609.23 and 944.85 is: 1,303.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.32 : 1,609.23 = 944.85 : x
  2. Step 2: Convert to fraction form
    1,166.32/1,609.23 = 944.85/x
  3. Step 3: Cross multiply
    1,166.32x = 1,609.23 × 944.85
  4. Step 4: Simplify right side
    1,166.32x = 1,520,480.97
  5. Step 5: Solve for x
    x = 1,520,480.97/1,166.32
  6. Step 6: Final answer
    x = 1,303.66

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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.