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Finding the Fourth Proportional to 547.40, 766.90 and 547.40

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Solution

The fourth proportional to 547.40, 766.90 and 547.40 is: 766.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.40 : 766.90 = 547.40 : x
  2. Step 2: Convert to fraction form
    547.40/766.90 = 547.40/x
  3. Step 3: Cross multiply
    547.40x = 766.90 × 547.40
  4. Step 4: Simplify right side
    547.40x = 419,801.06
  5. Step 5: Solve for x
    x = 419,801.06/547.40
  6. Step 6: Final answer
    x = 766.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.