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Finding the Fourth Proportional to 981.05, 1,471.14 and 460.91

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Solution

The fourth proportional to 981.05, 1,471.14 and 460.91 is: 691.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.05 : 1,471.14 = 460.91 : x
  2. Step 2: Convert to fraction form
    981.05/1,471.14 = 460.91/x
  3. Step 3: Cross multiply
    981.05x = 1,471.14 × 460.91
  4. Step 4: Simplify right side
    981.05x = 678,066.82
  5. Step 5: Solve for x
    x = 678,066.82/981.05
  6. Step 6: Final answer
    x = 691.17

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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.