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Finding the Fourth Proportional to 772.88, 1,164.62 and 638.93

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Solution

The fourth proportional to 772.88, 1,164.62 and 638.93 is: 962.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.88 : 1,164.62 = 638.93 : x
  2. Step 2: Convert to fraction form
    772.88/1,164.62 = 638.93/x
  3. Step 3: Cross multiply
    772.88x = 1,164.62 × 638.93
  4. Step 4: Simplify right side
    772.88x = 744,101.64
  5. Step 5: Solve for x
    x = 744,101.64/772.88
  6. Step 6: Final answer
    x = 962.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.