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Finding the Fourth Proportional to 1,167.12, 1,610.40 and 701.52

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Solution

The fourth proportional to 1,167.12, 1,610.40 and 701.52 is: 967.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.12 : 1,610.40 = 701.52 : x
  2. Step 2: Convert to fraction form
    1,167.12/1,610.40 = 701.52/x
  3. Step 3: Cross multiply
    1,167.12x = 1,610.40 × 701.52
  4. Step 4: Simplify right side
    1,167.12x = 1,129,727.81
  5. Step 5: Solve for x
    x = 1,129,727.81/1,167.12
  6. Step 6: Final answer
    x = 967.96

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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.