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Finding the Fourth Proportional to 882.83, 1,218.27 and 551.44

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Solution

The fourth proportional to 882.83, 1,218.27 and 551.44 is: 760.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.83 : 1,218.27 = 551.44 : x
  2. Step 2: Convert to fraction form
    882.83/1,218.27 = 551.44/x
  3. Step 3: Cross multiply
    882.83x = 1,218.27 × 551.44
  4. Step 4: Simplify right side
    882.83x = 671,806.40
  5. Step 5: Solve for x
    x = 671,806.40/882.83
  6. Step 6: Final answer
    x = 760.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.