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Finding the Fourth Proportional to 984.32, 1,356 and 854.72

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Solution

The fourth proportional to 984.32, 1,356 and 854.72 is: 1,177.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.32 : 1,356 = 854.72 : x
  2. Step 2: Convert to fraction form
    984.32/1,356 = 854.72/x
  3. Step 3: Cross multiply
    984.32x = 1,356 × 854.72
  4. Step 4: Simplify right side
    984.32x = 1,159,000.32
  5. Step 5: Solve for x
    x = 1,159,000.32/984.32
  6. Step 6: Final answer
    x = 1,177.46

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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.