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Finding the Fourth Proportional to 844.88, 1,162.01 and 678.83

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Solution

The fourth proportional to 844.88, 1,162.01 and 678.83 is: 933.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.88 : 1,162.01 = 678.83 : x
  2. Step 2: Convert to fraction form
    844.88/1,162.01 = 678.83/x
  3. Step 3: Cross multiply
    844.88x = 1,162.01 × 678.83
  4. Step 4: Simplify right side
    844.88x = 788,798.04
  5. Step 5: Solve for x
    x = 788,798.04/844.88
  6. Step 6: Final answer
    x = 933.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.