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Finding the Fourth Proportional to 1,060.07, 1,461.26 and 863.24

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Solution

The fourth proportional to 1,060.07, 1,461.26 and 863.24 is: 1,189.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.07 : 1,461.26 = 863.24 : x
  2. Step 2: Convert to fraction form
    1,060.07/1,461.26 = 863.24/x
  3. Step 3: Cross multiply
    1,060.07x = 1,461.26 × 863.24
  4. Step 4: Simplify right side
    1,060.07x = 1,261,413.77
  5. Step 5: Solve for x
    x = 1,261,413.77/1,060.07
  6. Step 6: Final answer
    x = 1,189.93

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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.