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Finding the Fourth Proportional to 1,021.42, 1,532.37 and 372.16

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Solution

The fourth proportional to 1,021.42, 1,532.37 and 372.16 is: 558.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.42 : 1,532.37 = 372.16 : x
  2. Step 2: Convert to fraction form
    1,021.42/1,532.37 = 372.16/x
  3. Step 3: Cross multiply
    1,021.42x = 1,532.37 × 372.16
  4. Step 4: Simplify right side
    1,021.42x = 570,286.82
  5. Step 5: Solve for x
    x = 570,286.82/1,021.42
  6. Step 6: Final answer
    x = 558.33

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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.