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Finding the Fourth Proportional to 890.94, 1,334.73 and 565.62

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Solution

The fourth proportional to 890.94, 1,334.73 and 565.62 is: 847.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.94 : 1,334.73 = 565.62 : x
  2. Step 2: Convert to fraction form
    890.94/1,334.73 = 565.62/x
  3. Step 3: Cross multiply
    890.94x = 1,334.73 × 565.62
  4. Step 4: Simplify right side
    890.94x = 754,949.98
  5. Step 5: Solve for x
    x = 754,949.98/890.94
  6. Step 6: Final answer
    x = 847.36

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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.