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Finding the Fourth Proportional to 981.45, 1,471.68 and 365.04

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Solution

The fourth proportional to 981.45, 1,471.68 and 365.04 is: 547.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.45 : 1,471.68 = 365.04 : x
  2. Step 2: Convert to fraction form
    981.45/1,471.68 = 365.04/x
  3. Step 3: Cross multiply
    981.45x = 1,471.68 × 365.04
  4. Step 4: Simplify right side
    981.45x = 537,222.07
  5. Step 5: Solve for x
    x = 537,222.07/981.45
  6. Step 6: Final answer
    x = 547.38

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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.