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Finding the Fourth Proportional to 1,167.43, 1,610.86 and 669.88

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Solution

The fourth proportional to 1,167.43, 1,610.86 and 669.88 is: 924.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.43 : 1,610.86 = 669.88 : x
  2. Step 2: Convert to fraction form
    1,167.43/1,610.86 = 669.88/x
  3. Step 3: Cross multiply
    1,167.43x = 1,610.86 × 669.88
  4. Step 4: Simplify right side
    1,167.43x = 1,079,088.64
  5. Step 5: Solve for x
    x = 1,079,088.64/1,167.43
  6. Step 6: Final answer
    x = 924.33

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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.