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Finding the Fourth Proportional to 1,024.82, 1,537.50 and 294.46

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Solution

The fourth proportional to 1,024.82, 1,537.50 and 294.46 is: 441.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.82 : 1,537.50 = 294.46 : x
  2. Step 2: Convert to fraction form
    1,024.82/1,537.50 = 294.46/x
  3. Step 3: Cross multiply
    1,024.82x = 1,537.50 × 294.46
  4. Step 4: Simplify right side
    1,024.82x = 452,732.25
  5. Step 5: Solve for x
    x = 452,732.25/1,024.82
  6. Step 6: Final answer
    x = 441.77

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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.