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Finding the Fourth Proportional to 1,386.58, 2,079.78 and 520.82

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Solution

The fourth proportional to 1,386.58, 2,079.78 and 520.82 is: 781.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.58 : 2,079.78 = 520.82 : x
  2. Step 2: Convert to fraction form
    1,386.58/2,079.78 = 520.82/x
  3. Step 3: Cross multiply
    1,386.58x = 2,079.78 × 520.82
  4. Step 4: Simplify right side
    1,386.58x = 1,083,191.02
  5. Step 5: Solve for x
    x = 1,083,191.02/1,386.58
  6. Step 6: Final answer
    x = 781.20

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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.