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Finding the Fourth Proportional to 1,021.46, 1,532.18 and 534.24

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Solution

The fourth proportional to 1,021.46, 1,532.18 and 534.24 is: 801.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.46 : 1,532.18 = 534.24 : x
  2. Step 2: Convert to fraction form
    1,021.46/1,532.18 = 534.24/x
  3. Step 3: Cross multiply
    1,021.46x = 1,532.18 × 534.24
  4. Step 4: Simplify right side
    1,021.46x = 818,553.18
  5. Step 5: Solve for x
    x = 818,553.18/1,021.46
  6. Step 6: Final answer
    x = 801.36

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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.