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Finding the Fourth Proportional to 934.88, 1,290.20 and 541.98

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Solution

The fourth proportional to 934.88, 1,290.20 and 541.98 is: 747.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.88 : 1,290.20 = 541.98 : x
  2. Step 2: Convert to fraction form
    934.88/1,290.20 = 541.98/x
  3. Step 3: Cross multiply
    934.88x = 1,290.20 × 541.98
  4. Step 4: Simplify right side
    934.88x = 699,259.89
  5. Step 5: Solve for x
    x = 699,259.89/934.88
  6. Step 6: Final answer
    x = 747.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.