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Finding the Fourth Proportional to 1,532.27, 2,297.68 and 558.25

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Solution

The fourth proportional to 1,532.27, 2,297.68 and 558.25 is: 837.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.27 : 2,297.68 = 558.25 : x
  2. Step 2: Convert to fraction form
    1,532.27/2,297.68 = 558.25/x
  3. Step 3: Cross multiply
    1,532.27x = 2,297.68 × 558.25
  4. Step 4: Simplify right side
    1,532.27x = 1,282,679.86
  5. Step 5: Solve for x
    x = 1,282,679.86/1,532.27
  6. Step 6: Final answer
    x = 837.11

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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.