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Finding the Fourth Proportional to 643.51, 886.55 and 532.64

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Solution

The fourth proportional to 643.51, 886.55 and 532.64 is: 733.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.51 : 886.55 = 532.64 : x
  2. Step 2: Convert to fraction form
    643.51/886.55 = 532.64/x
  3. Step 3: Cross multiply
    643.51x = 886.55 × 532.64
  4. Step 4: Simplify right side
    643.51x = 472,211.55
  5. Step 5: Solve for x
    x = 472,211.55/643.51
  6. Step 6: Final answer
    x = 733.80

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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.