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Finding the Fourth Proportional to 882.50, 1,323.68 and 297.78

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Solution

The fourth proportional to 882.50, 1,323.68 and 297.78 is: 446.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.50 : 1,323.68 = 297.78 : x
  2. Step 2: Convert to fraction form
    882.50/1,323.68 = 297.78/x
  3. Step 3: Cross multiply
    882.50x = 1,323.68 × 297.78
  4. Step 4: Simplify right side
    882.50x = 394,158.98
  5. Step 5: Solve for x
    x = 394,158.98/882.50
  6. Step 6: Final answer
    x = 446.64

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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.