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Finding the Fourth Proportional to 984.96, 1,473.66 and 838.35

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Solution

The fourth proportional to 984.96, 1,473.66 and 838.35 is: 1,254.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.96 : 1,473.66 = 838.35 : x
  2. Step 2: Convert to fraction form
    984.96/1,473.66 = 838.35/x
  3. Step 3: Cross multiply
    984.96x = 1,473.66 × 838.35
  4. Step 4: Simplify right side
    984.96x = 1,235,442.86
  5. Step 5: Solve for x
    x = 1,235,442.86/984.96
  6. Step 6: Final answer
    x = 1,254.31

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Why These Related Problems?

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