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Finding the Fourth Proportional to 611.91, 842.90 and 567.06

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Solution

The fourth proportional to 611.91, 842.90 and 567.06 is: 781.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.91 : 842.90 = 567.06 : x
  2. Step 2: Convert to fraction form
    611.91/842.90 = 567.06/x
  3. Step 3: Cross multiply
    611.91x = 842.90 × 567.06
  4. Step 4: Simplify right side
    611.91x = 477,972.04
  5. Step 5: Solve for x
    x = 477,972.04/611.91
  6. Step 6: Final answer
    x = 781.11

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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.