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Finding the Fourth Proportional to 882.56, 1,217.90 and 509.56

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Solution

The fourth proportional to 882.56, 1,217.90 and 509.56 is: 703.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.56 : 1,217.90 = 509.56 : x
  2. Step 2: Convert to fraction form
    882.56/1,217.90 = 509.56/x
  3. Step 3: Cross multiply
    882.56x = 1,217.90 × 509.56
  4. Step 4: Simplify right side
    882.56x = 620,591.35
  5. Step 5: Solve for x
    x = 620,591.35/882.56
  6. Step 6: Final answer
    x = 703.17

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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.