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Finding the Fourth Proportional to 1,532.12, 2,298.78 and 558.90

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Solution

The fourth proportional to 1,532.12, 2,298.78 and 558.90 is: 838.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.12 : 2,298.78 = 558.90 : x
  2. Step 2: Convert to fraction form
    1,532.12/2,298.78 = 558.90/x
  3. Step 3: Cross multiply
    1,532.12x = 2,298.78 × 558.90
  4. Step 4: Simplify right side
    1,532.12x = 1,284,788.14
  5. Step 5: Solve for x
    x = 1,284,788.14/1,532.12
  6. Step 6: Final answer
    x = 838.57

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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.