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Finding the Fourth Proportional to 1,386.93, 2,079.94 and 462.23

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Solution

The fourth proportional to 1,386.93, 2,079.94 and 462.23 is: 693.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.93 : 2,079.94 = 462.23 : x
  2. Step 2: Convert to fraction form
    1,386.93/2,079.94 = 462.23/x
  3. Step 3: Cross multiply
    1,386.93x = 2,079.94 × 462.23
  4. Step 4: Simplify right side
    1,386.93x = 961,414.71
  5. Step 5: Solve for x
    x = 961,414.71/1,386.93
  6. Step 6: Final answer
    x = 693.20

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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.