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Finding the Fourth Proportional to 1,167.65, 1,610.02 and 957.16

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Solution

The fourth proportional to 1,167.65, 1,610.02 and 957.16 is: 1,319.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.65 : 1,610.02 = 957.16 : x
  2. Step 2: Convert to fraction form
    1,167.65/1,610.02 = 957.16/x
  3. Step 3: Cross multiply
    1,167.65x = 1,610.02 × 957.16
  4. Step 4: Simplify right side
    1,167.65x = 1,541,046.74
  5. Step 5: Solve for x
    x = 1,541,046.74/1,167.65
  6. Step 6: Final answer
    x = 1,319.78

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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.