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Finding the Fourth Proportional to 1,024.68, 1,530.33 and 819.56

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Solution

The fourth proportional to 1,024.68, 1,530.33 and 819.56 is: 1,223.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.68 : 1,530.33 = 819.56 : x
  2. Step 2: Convert to fraction form
    1,024.68/1,530.33 = 819.56/x
  3. Step 3: Cross multiply
    1,024.68x = 1,530.33 × 819.56
  4. Step 4: Simplify right side
    1,024.68x = 1,254,197.25
  5. Step 5: Solve for x
    x = 1,254,197.25/1,024.68
  6. Step 6: Final answer
    x = 1,223.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.