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Finding the Fourth Proportional to 867.62, 1,299.53 and 558.47

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Solution

The fourth proportional to 867.62, 1,299.53 and 558.47 is: 836.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.62 : 1,299.53 = 558.47 : x
  2. Step 2: Convert to fraction form
    867.62/1,299.53 = 558.47/x
  3. Step 3: Cross multiply
    867.62x = 1,299.53 × 558.47
  4. Step 4: Simplify right side
    867.62x = 725,739.23
  5. Step 5: Solve for x
    x = 725,739.23/867.62
  6. Step 6: Final answer
    x = 836.48

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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.