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Finding the Fourth Proportional to 731.37, 1,009.62 and 469.74

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Solution

The fourth proportional to 731.37, 1,009.62 and 469.74 is: 648.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.37 : 1,009.62 = 469.74 : x
  2. Step 2: Convert to fraction form
    731.37/1,009.62 = 469.74/x
  3. Step 3: Cross multiply
    731.37x = 1,009.62 × 469.74
  4. Step 4: Simplify right side
    731.37x = 474,258.90
  5. Step 5: Solve for x
    x = 474,258.90/731.37
  6. Step 6: Final answer
    x = 648.45

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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.