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Finding the Fourth Proportional to 1,386.71, 2,079.45 and 693.70

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Solution

The fourth proportional to 1,386.71, 2,079.45 and 693.70 is: 1,040.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.71 : 2,079.45 = 693.70 : x
  2. Step 2: Convert to fraction form
    1,386.71/2,079.45 = 693.70/x
  3. Step 3: Cross multiply
    1,386.71x = 2,079.45 × 693.70
  4. Step 4: Simplify right side
    1,386.71x = 1,442,514.47
  5. Step 5: Solve for x
    x = 1,442,514.47/1,386.71
  6. Step 6: Final answer
    x = 1,040.24

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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.