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Finding the Fourth Proportional to 1,261.42, 1,740.75 and 701.92

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Solution

The fourth proportional to 1,261.42, 1,740.75 and 701.92 is: 968.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.42 : 1,740.75 = 701.92 : x
  2. Step 2: Convert to fraction form
    1,261.42/1,740.75 = 701.92/x
  3. Step 3: Cross multiply
    1,261.42x = 1,740.75 × 701.92
  4. Step 4: Simplify right side
    1,261.42x = 1,221,866.78
  5. Step 5: Solve for x
    x = 1,221,866.78/1,261.42
  6. Step 6: Final answer
    x = 968.65

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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.