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Finding the Fourth Proportional to 689.40, 950.90 and 541.78

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Solution

The fourth proportional to 689.40, 950.90 and 541.78 is: 747.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.40 : 950.90 = 541.78 : x
  2. Step 2: Convert to fraction form
    689.40/950.90 = 541.78/x
  3. Step 3: Cross multiply
    689.40x = 950.90 × 541.78
  4. Step 4: Simplify right side
    689.40x = 515,178.60
  5. Step 5: Solve for x
    x = 515,178.60/689.40
  6. Step 6: Final answer
    x = 747.29

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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.