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Finding the Fourth Proportional to 881.74, 1,216.74 and 571.24

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Solution

The fourth proportional to 881.74, 1,216.74 and 571.24 is: 788.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.74 : 1,216.74 = 571.24 : x
  2. Step 2: Convert to fraction form
    881.74/1,216.74 = 571.24/x
  3. Step 3: Cross multiply
    881.74x = 1,216.74 × 571.24
  4. Step 4: Simplify right side
    881.74x = 695,050.56
  5. Step 5: Solve for x
    x = 695,050.56/881.74
  6. Step 6: Final answer
    x = 788.27

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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.