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Finding the Fourth Proportional to 1,290.68, 1,934.86 and 632.20

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Solution

The fourth proportional to 1,290.68, 1,934.86 and 632.20 is: 947.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.68 : 1,934.86 = 632.20 : x
  2. Step 2: Convert to fraction form
    1,290.68/1,934.86 = 632.20/x
  3. Step 3: Cross multiply
    1,290.68x = 1,934.86 × 632.20
  4. Step 4: Simplify right side
    1,290.68x = 1,223,218.49
  5. Step 5: Solve for x
    x = 1,223,218.49/1,290.68
  6. Step 6: Final answer
    x = 947.73

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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.