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Finding the Fourth Proportional to 728.32, 1,009.76 and 704.32

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Solution

The fourth proportional to 728.32, 1,009.76 and 704.32 is: 976.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.32 : 1,009.76 = 704.32 : x
  2. Step 2: Convert to fraction form
    728.32/1,009.76 = 704.32/x
  3. Step 3: Cross multiply
    728.32x = 1,009.76 × 704.32
  4. Step 4: Simplify right side
    728.32x = 711,194.16
  5. Step 5: Solve for x
    x = 711,194.16/728.32
  6. Step 6: Final answer
    x = 976.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.