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Finding the Fourth Proportional to 1,386.17, 1,912.90 and 756.71

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Solution

The fourth proportional to 1,386.17, 1,912.90 and 756.71 is: 1,044.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.17 : 1,912.90 = 756.71 : x
  2. Step 2: Convert to fraction form
    1,386.17/1,912.90 = 756.71/x
  3. Step 3: Cross multiply
    1,386.17x = 1,912.90 × 756.71
  4. Step 4: Simplify right side
    1,386.17x = 1,447,510.56
  5. Step 5: Solve for x
    x = 1,447,510.56/1,386.17
  6. Step 6: Final answer
    x = 1,044.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.