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Finding the Fourth Proportional to 853.44, 1,277.76 and 647.04

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Solution

The fourth proportional to 853.44, 1,277.76 and 647.04 is: 968.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.44 : 1,277.76 = 647.04 : x
  2. Step 2: Convert to fraction form
    853.44/1,277.76 = 647.04/x
  3. Step 3: Cross multiply
    853.44x = 1,277.76 × 647.04
  4. Step 4: Simplify right side
    853.44x = 826,761.83
  5. Step 5: Solve for x
    x = 826,761.83/853.44
  6. Step 6: Final answer
    x = 968.74

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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.