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Finding the Fourth Proportional to 643.52, 888.36 and 577.82

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Solution

The fourth proportional to 643.52, 888.36 and 577.82 is: 797.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.52 : 888.36 = 577.82 : x
  2. Step 2: Convert to fraction form
    643.52/888.36 = 577.82/x
  3. Step 3: Cross multiply
    643.52x = 888.36 × 577.82
  4. Step 4: Simplify right side
    643.52x = 513,312.18
  5. Step 5: Solve for x
    x = 513,312.18/643.52
  6. Step 6: Final answer
    x = 797.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.