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Finding the Fourth Proportional to 1,166.32, 1,609.37 and 662.16

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Solution

The fourth proportional to 1,166.32, 1,609.37 and 662.16 is: 913.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.32 : 1,609.37 = 662.16 : x
  2. Step 2: Convert to fraction form
    1,166.32/1,609.37 = 662.16/x
  3. Step 3: Cross multiply
    1,166.32x = 1,609.37 × 662.16
  4. Step 4: Simplify right side
    1,166.32x = 1,065,656.59
  5. Step 5: Solve for x
    x = 1,065,656.59/1,166.32
  6. Step 6: Final answer
    x = 913.69

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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.