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Finding the Fourth Proportional to 731.82, 1,009.95 and 400.24

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Solution

The fourth proportional to 731.82, 1,009.95 and 400.24 is: 552.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.82 : 1,009.95 = 400.24 : x
  2. Step 2: Convert to fraction form
    731.82/1,009.95 = 400.24/x
  3. Step 3: Cross multiply
    731.82x = 1,009.95 × 400.24
  4. Step 4: Simplify right side
    731.82x = 404,222.39
  5. Step 5: Solve for x
    x = 404,222.39/731.82
  6. Step 6: Final answer
    x = 552.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.