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Finding the Fourth Proportional to 844.16, 1,267.32 and 571.46

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Solution

The fourth proportional to 844.16, 1,267.32 and 571.46 is: 857.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.16 : 1,267.32 = 571.46 : x
  2. Step 2: Convert to fraction form
    844.16/1,267.32 = 571.46/x
  3. Step 3: Cross multiply
    844.16x = 1,267.32 × 571.46
  4. Step 4: Simplify right side
    844.16x = 724,222.69
  5. Step 5: Solve for x
    x = 724,222.69/844.16
  6. Step 6: Final answer
    x = 857.92

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