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Finding the Fourth Proportional to 882.06, 1,217.07 and 571.38

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Solution

The fourth proportional to 882.06, 1,217.07 and 571.38 is: 788.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.06 : 1,217.07 = 571.38 : x
  2. Step 2: Convert to fraction form
    882.06/1,217.07 = 571.38/x
  3. Step 3: Cross multiply
    882.06x = 1,217.07 × 571.38
  4. Step 4: Simplify right side
    882.06x = 695,409.46
  5. Step 5: Solve for x
    x = 695,409.46/882.06
  6. Step 6: Final answer
    x = 788.39

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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.