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Finding the Fourth Proportional to 690.72, 951.92 and 611.06

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Solution

The fourth proportional to 690.72, 951.92 and 611.06 is: 842.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.72 : 951.92 = 611.06 : x
  2. Step 2: Convert to fraction form
    690.72/951.92 = 611.06/x
  3. Step 3: Cross multiply
    690.72x = 951.92 × 611.06
  4. Step 4: Simplify right side
    690.72x = 581,680.24
  5. Step 5: Solve for x
    x = 581,680.24/690.72
  6. Step 6: Final answer
    x = 842.14

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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.