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Finding the Fourth Proportional to 731.76, 1,004.44 and 651.32

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Solution

The fourth proportional to 731.76, 1,004.44 and 651.32 is: 894.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.76 : 1,004.44 = 651.32 : x
  2. Step 2: Convert to fraction form
    731.76/1,004.44 = 651.32/x
  3. Step 3: Cross multiply
    731.76x = 1,004.44 × 651.32
  4. Step 4: Simplify right side
    731.76x = 654,211.86
  5. Step 5: Solve for x
    x = 654,211.86/731.76
  6. Step 6: Final answer
    x = 894.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.