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Finding the Fourth Proportional to 1,024.81, 1,537.23 and 294.46

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Solution

The fourth proportional to 1,024.81, 1,537.23 and 294.46 is: 441.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.81 : 1,537.23 = 294.46 : x
  2. Step 2: Convert to fraction form
    1,024.81/1,537.23 = 294.46/x
  3. Step 3: Cross multiply
    1,024.81x = 1,537.23 × 294.46
  4. Step 4: Simplify right side
    1,024.81x = 452,652.75
  5. Step 5: Solve for x
    x = 452,652.75/1,024.81
  6. Step 6: Final answer
    x = 441.69

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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.