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Finding the Fourth Proportional to 1,386.18, 2,079.30 and 461.76

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Solution

The fourth proportional to 1,386.18, 2,079.30 and 461.76 is: 692.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.18 : 2,079.30 = 461.76 : x
  2. Step 2: Convert to fraction form
    1,386.18/2,079.30 = 461.76/x
  3. Step 3: Cross multiply
    1,386.18x = 2,079.30 × 461.76
  4. Step 4: Simplify right side
    1,386.18x = 960,137.57
  5. Step 5: Solve for x
    x = 960,137.57/1,386.18
  6. Step 6: Final answer
    x = 692.65

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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.