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Finding the Fourth Proportional to 1,166.69, 1,612.36 and 956.55

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Solution

The fourth proportional to 1,166.69, 1,612.36 and 956.55 is: 1,321.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.69 : 1,612.36 = 956.55 : x
  2. Step 2: Convert to fraction form
    1,166.69/1,612.36 = 956.55/x
  3. Step 3: Cross multiply
    1,166.69x = 1,612.36 × 956.55
  4. Step 4: Simplify right side
    1,166.69x = 1,542,300.57
  5. Step 5: Solve for x
    x = 1,542,300.57/1,166.69
  6. Step 6: Final answer
    x = 1,321.94

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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.