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Finding the Fourth Proportional to 981.17, 1,471.72 and 460.98

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Solution

The fourth proportional to 981.17, 1,471.72 and 460.98 is: 691.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.17 : 1,471.72 = 460.98 : x
  2. Step 2: Convert to fraction form
    981.17/1,471.72 = 460.98/x
  3. Step 3: Cross multiply
    981.17x = 1,471.72 × 460.98
  4. Step 4: Simplify right side
    981.17x = 678,433.49
  5. Step 5: Solve for x
    x = 678,433.49/981.17
  6. Step 6: Final answer
    x = 691.45

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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.