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Finding the Fourth Proportional to 1,262.59, 1,741.70 and 868.93

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Solution

The fourth proportional to 1,262.59, 1,741.70 and 868.93 is: 1,198.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.59 : 1,741.70 = 868.93 : x
  2. Step 2: Convert to fraction form
    1,262.59/1,741.70 = 868.93/x
  3. Step 3: Cross multiply
    1,262.59x = 1,741.70 × 868.93
  4. Step 4: Simplify right side
    1,262.59x = 1,513,413.20
  5. Step 5: Solve for x
    x = 1,513,413.20/1,262.59
  6. Step 6: Final answer
    x = 1,198.66

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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.