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Finding the Fourth Proportional to 1,290.12, 1,934.04 and 468.20

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Solution

The fourth proportional to 1,290.12, 1,934.04 and 468.20 is: 701.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.12 : 1,934.04 = 468.20 : x
  2. Step 2: Convert to fraction form
    1,290.12/1,934.04 = 468.20/x
  3. Step 3: Cross multiply
    1,290.12x = 1,934.04 × 468.20
  4. Step 4: Simplify right side
    1,290.12x = 905,517.53
  5. Step 5: Solve for x
    x = 905,517.53/1,290.12
  6. Step 6: Final answer
    x = 701.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.