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Finding the Fourth Proportional to 1,024.92, 1,537.65 and 537.84

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Solution

The fourth proportional to 1,024.92, 1,537.65 and 537.84 is: 806.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.92 : 1,537.65 = 537.84 : x
  2. Step 2: Convert to fraction form
    1,024.92/1,537.65 = 537.84/x
  3. Step 3: Cross multiply
    1,024.92x = 1,537.65 × 537.84
  4. Step 4: Simplify right side
    1,024.92x = 827,009.68
  5. Step 5: Solve for x
    x = 827,009.68/1,024.92
  6. Step 6: Final answer
    x = 806.90

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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.