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Finding the Fourth Proportional to 1,024.41, 1,537.44 and 537.75

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Solution

The fourth proportional to 1,024.41, 1,537.44 and 537.75 is: 807.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.41 : 1,537.44 = 537.75 : x
  2. Step 2: Convert to fraction form
    1,024.41/1,537.44 = 537.75/x
  3. Step 3: Cross multiply
    1,024.41x = 1,537.44 × 537.75
  4. Step 4: Simplify right side
    1,024.41x = 826,758.36
  5. Step 5: Solve for x
    x = 826,758.36/1,024.41
  6. Step 6: Final answer
    x = 807.06

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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.