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Finding the Fourth Proportional to 882.54, 1,217.76 and 509.55

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Solution

The fourth proportional to 882.54, 1,217.76 and 509.55 is: 703.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.54 : 1,217.76 = 509.55 : x
  2. Step 2: Convert to fraction form
    882.54/1,217.76 = 509.55/x
  3. Step 3: Cross multiply
    882.54x = 1,217.76 × 509.55
  4. Step 4: Simplify right side
    882.54x = 620,509.61
  5. Step 5: Solve for x
    x = 620,509.61/882.54
  6. Step 6: Final answer
    x = 703.10

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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.