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Finding the Fourth Proportional to 882.78, 1,218.06 and 509.66

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Solution

The fourth proportional to 882.78, 1,218.06 and 509.66 is: 703.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.78 : 1,218.06 = 509.66 : x
  2. Step 2: Convert to fraction form
    882.78/1,218.06 = 509.66/x
  3. Step 3: Cross multiply
    882.78x = 1,218.06 × 509.66
  4. Step 4: Simplify right side
    882.78x = 620,796.46
  5. Step 5: Solve for x
    x = 620,796.46/882.78
  6. Step 6: Final answer
    x = 703.23

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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.