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Finding the Fourth Proportional to 543.70, 814.47 and 511.30

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Solution

The fourth proportional to 543.70, 814.47 and 511.30 is: 765.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.70 : 814.47 = 511.30 : x
  2. Step 2: Convert to fraction form
    543.70/814.47 = 511.30/x
  3. Step 3: Cross multiply
    543.70x = 814.47 × 511.30
  4. Step 4: Simplify right side
    543.70x = 416,438.51
  5. Step 5: Solve for x
    x = 416,438.51/543.70
  6. Step 6: Final answer
    x = 765.93

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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.