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Finding the Fourth Proportional to 981.91, 1,471.84 and 365.23

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Solution

The fourth proportional to 981.91, 1,471.84 and 365.23 is: 547.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.91 : 1,471.84 = 365.23 : x
  2. Step 2: Convert to fraction form
    981.91/1,471.84 = 365.23/x
  3. Step 3: Cross multiply
    981.91x = 1,471.84 × 365.23
  4. Step 4: Simplify right side
    981.91x = 537,561.05
  5. Step 5: Solve for x
    x = 537,561.05/981.91
  6. Step 6: Final answer
    x = 547.46

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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.