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Finding the Fourth Proportional to 1,254.14, 1,729.10 and 860.48

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Solution

The fourth proportional to 1,254.14, 1,729.10 and 860.48 is: 1,186.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.14 : 1,729.10 = 860.48 : x
  2. Step 2: Convert to fraction form
    1,254.14/1,729.10 = 860.48/x
  3. Step 3: Cross multiply
    1,254.14x = 1,729.10 × 860.48
  4. Step 4: Simplify right side
    1,254.14x = 1,487,849.47
  5. Step 5: Solve for x
    x = 1,487,849.47/1,254.14
  6. Step 6: Final answer
    x = 1,186.36

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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.