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Finding the Fourth Proportional to 899.97, 1,243.77 and 678.84

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Solution

The fourth proportional to 899.97, 1,243.77 and 678.84 is: 938.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.97 : 1,243.77 = 678.84 : x
  2. Step 2: Convert to fraction form
    899.97/1,243.77 = 678.84/x
  3. Step 3: Cross multiply
    899.97x = 1,243.77 × 678.84
  4. Step 4: Simplify right side
    899.97x = 844,320.83
  5. Step 5: Solve for x
    x = 844,320.83/899.97
  6. Step 6: Final answer
    x = 938.17

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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.