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Finding the Fourth Proportional to 836.77, 1,255.14 and 654.32

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Solution

The fourth proportional to 836.77, 1,255.14 and 654.32 is: 981.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.77 : 1,255.14 = 654.32 : x
  2. Step 2: Convert to fraction form
    836.77/1,255.14 = 654.32/x
  3. Step 3: Cross multiply
    836.77x = 1,255.14 × 654.32
  4. Step 4: Simplify right side
    836.77x = 821,256.93
  5. Step 5: Solve for x
    x = 821,256.93/836.77
  6. Step 6: Final answer
    x = 981.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.