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Finding the Fourth Proportional to 1,167.46, 1,610.96 and 670.16

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Solution

The fourth proportional to 1,167.46, 1,610.96 and 670.16 is: 924.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.46 : 1,610.96 = 670.16 : x
  2. Step 2: Convert to fraction form
    1,167.46/1,610.96 = 670.16/x
  3. Step 3: Cross multiply
    1,167.46x = 1,610.96 × 670.16
  4. Step 4: Simplify right side
    1,167.46x = 1,079,600.95
  5. Step 5: Solve for x
    x = 1,079,600.95/1,167.46
  6. Step 6: Final answer
    x = 924.74

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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.