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Finding the Fourth Proportional to 989.44, 1,365.57 and 616.54

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Solution

The fourth proportional to 989.44, 1,365.57 and 616.54 is: 850.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.44 : 1,365.57 = 616.54 : x
  2. Step 2: Convert to fraction form
    989.44/1,365.57 = 616.54/x
  3. Step 3: Cross multiply
    989.44x = 1,365.57 × 616.54
  4. Step 4: Simplify right side
    989.44x = 841,925.11
  5. Step 5: Solve for x
    x = 841,925.11/989.44
  6. Step 6: Final answer
    x = 850.91

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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.