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Finding the Fourth Proportional to 731.59, 1,009.56 and 399.95

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Solution

The fourth proportional to 731.59, 1,009.56 and 399.95 is: 551.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.59 : 1,009.56 = 399.95 : x
  2. Step 2: Convert to fraction form
    731.59/1,009.56 = 399.95/x
  3. Step 3: Cross multiply
    731.59x = 1,009.56 × 399.95
  4. Step 4: Simplify right side
    731.59x = 403,771.52
  5. Step 5: Solve for x
    x = 403,771.52/731.59
  6. Step 6: Final answer
    x = 551.91

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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.