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Finding the Fourth Proportional to 1,386.24, 2,077.96 and 691.84

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Solution

The fourth proportional to 1,386.24, 2,077.96 and 691.84 is: 1,037.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.24 : 2,077.96 = 691.84 : x
  2. Step 2: Convert to fraction form
    1,386.24/2,077.96 = 691.84/x
  3. Step 3: Cross multiply
    1,386.24x = 2,077.96 × 691.84
  4. Step 4: Simplify right side
    1,386.24x = 1,437,615.85
  5. Step 5: Solve for x
    x = 1,437,615.85/1,386.24
  6. Step 6: Final answer
    x = 1,037.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.