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Finding the Fourth Proportional to 882.70, 1,218.09 and 509.79

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Solution

The fourth proportional to 882.70, 1,218.09 and 509.79 is: 703.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.70 : 1,218.09 = 509.79 : x
  2. Step 2: Convert to fraction form
    882.70/1,218.09 = 509.79/x
  3. Step 3: Cross multiply
    882.70x = 1,218.09 × 509.79
  4. Step 4: Simplify right side
    882.70x = 620,964.01
  5. Step 5: Solve for x
    x = 620,964.01/882.70
  6. Step 6: Final answer
    x = 703.48

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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.