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Finding the Fourth Proportional to 731.63, 1,009.68 and 400.07

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Solution

The fourth proportional to 731.63, 1,009.68 and 400.07 is: 552.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.63 : 1,009.68 = 400.07 : x
  2. Step 2: Convert to fraction form
    731.63/1,009.68 = 400.07/x
  3. Step 3: Cross multiply
    731.63x = 1,009.68 × 400.07
  4. Step 4: Simplify right side
    731.63x = 403,943.70
  5. Step 5: Solve for x
    x = 403,943.70/731.63
  6. Step 6: Final answer
    x = 552.11

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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.