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Finding the Fourth Proportional to 697.13, 1,042.23 and 543.20

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Solution

The fourth proportional to 697.13, 1,042.23 and 543.20 is: 812.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.13 : 1,042.23 = 543.20 : x
  2. Step 2: Convert to fraction form
    697.13/1,042.23 = 543.20/x
  3. Step 3: Cross multiply
    697.13x = 1,042.23 × 543.20
  4. Step 4: Simplify right side
    697.13x = 566,139.34
  5. Step 5: Solve for x
    x = 566,139.34/697.13
  6. Step 6: Final answer
    x = 812.10

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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.