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Finding the Fourth Proportional to 1,532.45, 2,298.66 and 558.54

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Solution

The fourth proportional to 1,532.45, 2,298.66 and 558.54 is: 837.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.45 : 2,298.66 = 558.54 : x
  2. Step 2: Convert to fraction form
    1,532.45/2,298.66 = 558.54/x
  3. Step 3: Cross multiply
    1,532.45x = 2,298.66 × 558.54
  4. Step 4: Simplify right side
    1,532.45x = 1,283,893.56
  5. Step 5: Solve for x
    x = 1,283,893.56/1,532.45
  6. Step 6: Final answer
    x = 837.81

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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.