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Finding the Fourth Proportional to 1,532.92, 2,298.56 and 558.62

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Solution

The fourth proportional to 1,532.92, 2,298.56 and 558.62 is: 837.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.92 : 2,298.56 = 558.62 : x
  2. Step 2: Convert to fraction form
    1,532.92/2,298.56 = 558.62/x
  3. Step 3: Cross multiply
    1,532.92x = 2,298.56 × 558.62
  4. Step 4: Simplify right side
    1,532.92x = 1,284,021.59
  5. Step 5: Solve for x
    x = 1,284,021.59/1,532.92
  6. Step 6: Final answer
    x = 837.63

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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.