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Finding the Fourth Proportional to 722.40, 997.86 and 566.99

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Solution

The fourth proportional to 722.40, 997.86 and 566.99 is: 783.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.40 : 997.86 = 566.99 : x
  2. Step 2: Convert to fraction form
    722.40/997.86 = 566.99/x
  3. Step 3: Cross multiply
    722.40x = 997.86 × 566.99
  4. Step 4: Simplify right side
    722.40x = 565,771.65
  5. Step 5: Solve for x
    x = 565,771.65/722.40
  6. Step 6: Final answer
    x = 783.18

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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.