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Finding the Fourth Proportional to 758.67, 1,047.30 and 572.23

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Solution

The fourth proportional to 758.67, 1,047.30 and 572.23 is: 789.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.67 : 1,047.30 = 572.23 : x
  2. Step 2: Convert to fraction form
    758.67/1,047.30 = 572.23/x
  3. Step 3: Cross multiply
    758.67x = 1,047.30 × 572.23
  4. Step 4: Simplify right side
    758.67x = 599,296.48
  5. Step 5: Solve for x
    x = 599,296.48/758.67
  6. Step 6: Final answer
    x = 789.93

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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.