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Finding the Fourth Proportional to 642.88, 886.80 and 598.36

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Solution

The fourth proportional to 642.88, 886.80 and 598.36 is: 825.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.88 : 886.80 = 598.36 : x
  2. Step 2: Convert to fraction form
    642.88/886.80 = 598.36/x
  3. Step 3: Cross multiply
    642.88x = 886.80 × 598.36
  4. Step 4: Simplify right side
    642.88x = 530,625.65
  5. Step 5: Solve for x
    x = 530,625.65/642.88
  6. Step 6: Final answer
    x = 825.39

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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.