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Finding the Fourth Proportional to 891.12, 1,334.64 and 565.76

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Solution

The fourth proportional to 891.12, 1,334.64 and 565.76 is: 847.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.12 : 1,334.64 = 565.76 : x
  2. Step 2: Convert to fraction form
    891.12/1,334.64 = 565.76/x
  3. Step 3: Cross multiply
    891.12x = 1,334.64 × 565.76
  4. Step 4: Simplify right side
    891.12x = 755,085.93
  5. Step 5: Solve for x
    x = 755,085.93/891.12
  6. Step 6: Final answer
    x = 847.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.