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Finding the Fourth Proportional to 882.70, 1,218.02 and 509.56

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Solution

The fourth proportional to 882.70, 1,218.02 and 509.56 is: 703.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.70 : 1,218.02 = 509.56 : x
  2. Step 2: Convert to fraction form
    882.70/1,218.02 = 509.56/x
  3. Step 3: Cross multiply
    882.70x = 1,218.02 × 509.56
  4. Step 4: Simplify right side
    882.70x = 620,648.68
  5. Step 5: Solve for x
    x = 620,648.68/882.70
  6. Step 6: Final answer
    x = 703.13

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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.