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Finding the Fourth Proportional to 934.74, 1,289.84 and 541.88

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Solution

The fourth proportional to 934.74, 1,289.84 and 541.88 is: 747.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.74 : 1,289.84 = 541.88 : x
  2. Step 2: Convert to fraction form
    934.74/1,289.84 = 541.88/x
  3. Step 3: Cross multiply
    934.74x = 1,289.84 × 541.88
  4. Step 4: Simplify right side
    934.74x = 698,938.50
  5. Step 5: Solve for x
    x = 698,938.50/934.74
  6. Step 6: Final answer
    x = 747.74

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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.