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Finding the Fourth Proportional to 1,165.86, 1,610.08 and 1,065.89

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Solution

The fourth proportional to 1,165.86, 1,610.08 and 1,065.89 is: 1,472.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.86 : 1,610.08 = 1,065.89 : x
  2. Step 2: Convert to fraction form
    1,165.86/1,610.08 = 1,065.89/x
  3. Step 3: Cross multiply
    1,165.86x = 1,610.08 × 1,065.89
  4. Step 4: Simplify right side
    1,165.86x = 1,716,169.53
  5. Step 5: Solve for x
    x = 1,716,169.53/1,165.86
  6. Step 6: Final answer
    x = 1,472.02

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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.