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Finding the Fourth Proportional to 567.98, 782.70 and 548

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Solution

The fourth proportional to 567.98, 782.70 and 548 is: 755.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.98 : 782.70 = 548 : x
  2. Step 2: Convert to fraction form
    567.98/782.70 = 548/x
  3. Step 3: Cross multiply
    567.98x = 782.70 × 548
  4. Step 4: Simplify right side
    567.98x = 428,919.60
  5. Step 5: Solve for x
    x = 428,919.60/567.98
  6. Step 6: Final answer
    x = 755.17

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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.