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Finding the Fourth Proportional to 1,386.88, 2,079.22 and 693.20

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Solution

The fourth proportional to 1,386.88, 2,079.22 and 693.20 is: 1,039.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.88 : 2,079.22 = 693.20 : x
  2. Step 2: Convert to fraction form
    1,386.88/2,079.22 = 693.20/x
  3. Step 3: Cross multiply
    1,386.88x = 2,079.22 × 693.20
  4. Step 4: Simplify right side
    1,386.88x = 1,441,315.30
  5. Step 5: Solve for x
    x = 1,441,315.30/1,386.88
  6. Step 6: Final answer
    x = 1,039.25

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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.