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Finding the Fourth Proportional to 1,386.42, 2,079.95 and 461.90

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Solution

The fourth proportional to 1,386.42, 2,079.95 and 461.90 is: 692.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.42 : 2,079.95 = 461.90 : x
  2. Step 2: Convert to fraction form
    1,386.42/2,079.95 = 461.90/x
  3. Step 3: Cross multiply
    1,386.42x = 2,079.95 × 461.90
  4. Step 4: Simplify right side
    1,386.42x = 960,716.20
  5. Step 5: Solve for x
    x = 960,716.20/1,386.42
  6. Step 6: Final answer
    x = 692.95

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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.