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Finding the Fourth Proportional to 1,166.67, 1,610 and 642.71

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Solution

The fourth proportional to 1,166.67, 1,610 and 642.71 is: 886.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.67 : 1,610 = 642.71 : x
  2. Step 2: Convert to fraction form
    1,166.67/1,610 = 642.71/x
  3. Step 3: Cross multiply
    1,166.67x = 1,610 × 642.71
  4. Step 4: Simplify right side
    1,166.67x = 1,034,755.05
  5. Step 5: Solve for x
    x = 1,034,755.05/1,166.67
  6. Step 6: Final answer
    x = 886.93

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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.