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Finding the Fourth Proportional to 1,386.14, 2,079.21 and 509.27

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Solution

The fourth proportional to 1,386.14, 2,079.21 and 509.27 is: 763.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.14 : 2,079.21 = 509.27 : x
  2. Step 2: Convert to fraction form
    1,386.14/2,079.21 = 509.27/x
  3. Step 3: Cross multiply
    1,386.14x = 2,079.21 × 509.27
  4. Step 4: Simplify right side
    1,386.14x = 1,058,868.88
  5. Step 5: Solve for x
    x = 1,058,868.88/1,386.14
  6. Step 6: Final answer
    x = 763.90

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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.