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Finding the Fourth Proportional to 1,165.91, 1,610.48 and 870.66

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Solution

The fourth proportional to 1,165.91, 1,610.48 and 870.66 is: 1,202.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.91 : 1,610.48 = 870.66 : x
  2. Step 2: Convert to fraction form
    1,165.91/1,610.48 = 870.66/x
  3. Step 3: Cross multiply
    1,165.91x = 1,610.48 × 870.66
  4. Step 4: Simplify right side
    1,165.91x = 1,402,182.69
  5. Step 5: Solve for x
    x = 1,402,182.69/1,165.91
  6. Step 6: Final answer
    x = 1,202.66

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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.