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Finding the Fourth Proportional to 881.06, 1,214.75 and 565.76

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Solution

The fourth proportional to 881.06, 1,214.75 and 565.76 is: 780.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.06 : 1,214.75 = 565.76 : x
  2. Step 2: Convert to fraction form
    881.06/1,214.75 = 565.76/x
  3. Step 3: Cross multiply
    881.06x = 1,214.75 × 565.76
  4. Step 4: Simplify right side
    881.06x = 687,256.96
  5. Step 5: Solve for x
    x = 687,256.96/881.06
  6. Step 6: Final answer
    x = 780.04

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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.