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Finding the Fourth Proportional to 758.94, 1,047.44 and 546.95

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Solution

The fourth proportional to 758.94, 1,047.44 and 546.95 is: 754.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.94 : 1,047.44 = 546.95 : x
  2. Step 2: Convert to fraction form
    758.94/1,047.44 = 546.95/x
  3. Step 3: Cross multiply
    758.94x = 1,047.44 × 546.95
  4. Step 4: Simplify right side
    758.94x = 572,901.29
  5. Step 5: Solve for x
    x = 572,901.29/758.94
  6. Step 6: Final answer
    x = 754.87

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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.