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Finding the Fourth Proportional to 689.82, 950.86 and 542.20

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Solution

The fourth proportional to 689.82, 950.86 and 542.20 is: 747.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.82 : 950.86 = 542.20 : x
  2. Step 2: Convert to fraction form
    689.82/950.86 = 542.20/x
  3. Step 3: Cross multiply
    689.82x = 950.86 × 542.20
  4. Step 4: Simplify right side
    689.82x = 515,556.29
  5. Step 5: Solve for x
    x = 515,556.29/689.82
  6. Step 6: Final answer
    x = 747.38

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1.5x scale

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.