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Finding the Fourth Proportional to 543.24, 821.07 and 543.24

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Solution

The fourth proportional to 543.24, 821.07 and 543.24 is: 821.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.24 : 821.07 = 543.24 : x
  2. Step 2: Convert to fraction form
    543.24/821.07 = 543.24/x
  3. Step 3: Cross multiply
    543.24x = 821.07 × 543.24
  4. Step 4: Simplify right side
    543.24x = 446,038.07
  5. Step 5: Solve for x
    x = 446,038.07/543.24
  6. Step 6: Final answer
    x = 821.07

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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.