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Finding the Fourth Proportional to 1,024.80, 1,537.24 and 284.49

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Solution

The fourth proportional to 1,024.80, 1,537.24 and 284.49 is: 426.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.80 : 1,537.24 = 284.49 : x
  2. Step 2: Convert to fraction form
    1,024.80/1,537.24 = 284.49/x
  3. Step 3: Cross multiply
    1,024.80x = 1,537.24 × 284.49
  4. Step 4: Simplify right side
    1,024.80x = 437,329.41
  5. Step 5: Solve for x
    x = 437,329.41/1,024.80
  6. Step 6: Final answer
    x = 426.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.