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Finding the Fourth Proportional to 882.06, 1,323.28 and 265.77

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Solution

The fourth proportional to 882.06, 1,323.28 and 265.77 is: 398.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.06 : 1,323.28 = 265.77 : x
  2. Step 2: Convert to fraction form
    882.06/1,323.28 = 265.77/x
  3. Step 3: Cross multiply
    882.06x = 1,323.28 × 265.77
  4. Step 4: Simplify right side
    882.06x = 351,688.13
  5. Step 5: Solve for x
    x = 351,688.13/882.06
  6. Step 6: Final answer
    x = 398.71

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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.