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Finding the Fourth Proportional to 736.32, 1,102.86 and 581.43

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Solution

The fourth proportional to 736.32, 1,102.86 and 581.43 is: 870.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.32 : 1,102.86 = 581.43 : x
  2. Step 2: Convert to fraction form
    736.32/1,102.86 = 581.43/x
  3. Step 3: Cross multiply
    736.32x = 1,102.86 × 581.43
  4. Step 4: Simplify right side
    736.32x = 641,235.89
  5. Step 5: Solve for x
    x = 641,235.89/736.32
  6. Step 6: Final answer
    x = 870.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.