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Finding the Fourth Proportional to 643.41, 962.77 and 594.41

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Solution

The fourth proportional to 643.41, 962.77 and 594.41 is: 889.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.41 : 962.77 = 594.41 : x
  2. Step 2: Convert to fraction form
    643.41/962.77 = 594.41/x
  3. Step 3: Cross multiply
    643.41x = 962.77 × 594.41
  4. Step 4: Simplify right side
    643.41x = 572,280.12
  5. Step 5: Solve for x
    x = 572,280.12/643.41
  6. Step 6: Final answer
    x = 889.45

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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.