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Finding the Fourth Proportional to 864.05, 1,295.19 and 401.46

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Solution

The fourth proportional to 864.05, 1,295.19 and 401.46 is: 601.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.05 : 1,295.19 = 401.46 : x
  2. Step 2: Convert to fraction form
    864.05/1,295.19 = 401.46/x
  3. Step 3: Cross multiply
    864.05x = 1,295.19 × 401.46
  4. Step 4: Simplify right side
    864.05x = 519,960.61
  5. Step 5: Solve for x
    x = 519,960.61/864.05
  6. Step 6: Final answer
    x = 601.77

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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.