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Finding the Fourth Proportional to 1,024.52, 1,537.01 and 294.04

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Solution

The fourth proportional to 1,024.52, 1,537.01 and 294.04 is: 441.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.52 : 1,537.01 = 294.04 : x
  2. Step 2: Convert to fraction form
    1,024.52/1,537.01 = 294.04/x
  3. Step 3: Cross multiply
    1,024.52x = 1,537.01 × 294.04
  4. Step 4: Simplify right side
    1,024.52x = 451,941.69
  5. Step 5: Solve for x
    x = 451,941.69/1,024.52
  6. Step 6: Final answer
    x = 441.13

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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.