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Finding the Fourth Proportional to 758.92, 1,047.22 and 537.94

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Solution

The fourth proportional to 758.92, 1,047.22 and 537.94 is: 742.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.92 : 1,047.22 = 537.94 : x
  2. Step 2: Convert to fraction form
    758.92/1,047.22 = 537.94/x
  3. Step 3: Cross multiply
    758.92x = 1,047.22 × 537.94
  4. Step 4: Simplify right side
    758.92x = 563,341.53
  5. Step 5: Solve for x
    x = 563,341.53/758.92
  6. Step 6: Final answer
    x = 742.29

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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.