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Finding the Fourth Proportional to 758.62, 1,047.34 and 538.02

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Solution

The fourth proportional to 758.62, 1,047.34 and 538.02 is: 742.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.62 : 1,047.34 = 538.02 : x
  2. Step 2: Convert to fraction form
    758.62/1,047.34 = 538.02/x
  3. Step 3: Cross multiply
    758.62x = 1,047.34 × 538.02
  4. Step 4: Simplify right side
    758.62x = 563,489.87
  5. Step 5: Solve for x
    x = 563,489.87/758.62
  6. Step 6: Final answer
    x = 742.78

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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.