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Finding the Fourth Proportional to 882.57, 1,217.86 and 509.67

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Solution

The fourth proportional to 882.57, 1,217.86 and 509.67 is: 703.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.57 : 1,217.86 = 509.67 : x
  2. Step 2: Convert to fraction form
    882.57/1,217.86 = 509.67/x
  3. Step 3: Cross multiply
    882.57x = 1,217.86 × 509.67
  4. Step 4: Simplify right side
    882.57x = 620,703.15
  5. Step 5: Solve for x
    x = 620,703.15/882.57
  6. Step 6: Final answer
    x = 703.29

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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.