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Finding the Fourth Proportional to 645.32, 971.86 and 543.26

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Solution

The fourth proportional to 645.32, 971.86 and 543.26 is: 818.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.32 : 971.86 = 543.26 : x
  2. Step 2: Convert to fraction form
    645.32/971.86 = 543.26/x
  3. Step 3: Cross multiply
    645.32x = 971.86 × 543.26
  4. Step 4: Simplify right side
    645.32x = 527,972.66
  5. Step 5: Solve for x
    x = 527,972.66/645.32
  6. Step 6: Final answer
    x = 818.16

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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.