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Finding the Fourth Proportional to 882.34, 1,323.18 and 265.86

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Solution

The fourth proportional to 882.34, 1,323.18 and 265.86 is: 398.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.34 : 1,323.18 = 265.86 : x
  2. Step 2: Convert to fraction form
    882.34/1,323.18 = 265.86/x
  3. Step 3: Cross multiply
    882.34x = 1,323.18 × 265.86
  4. Step 4: Simplify right side
    882.34x = 351,780.63
  5. Step 5: Solve for x
    x = 351,780.63/882.34
  6. Step 6: Final answer
    x = 398.69

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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.