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Finding the Fourth Proportional to 690.50, 951.28 and 565.43

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Solution

The fourth proportional to 690.50, 951.28 and 565.43 is: 778.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.50 : 951.28 = 565.43 : x
  2. Step 2: Convert to fraction form
    690.50/951.28 = 565.43/x
  3. Step 3: Cross multiply
    690.50x = 951.28 × 565.43
  4. Step 4: Simplify right side
    690.50x = 537,883.22
  5. Step 5: Solve for x
    x = 537,883.22/690.50
  6. Step 6: Final answer
    x = 778.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.