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Finding the Fourth Proportional to 560.89, 774.41 and 523.95

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Solution

The fourth proportional to 560.89, 774.41 and 523.95 is: 723.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.89 : 774.41 = 523.95 : x
  2. Step 2: Convert to fraction form
    560.89/774.41 = 523.95/x
  3. Step 3: Cross multiply
    560.89x = 774.41 × 523.95
  4. Step 4: Simplify right side
    560.89x = 405,752.12
  5. Step 5: Solve for x
    x = 405,752.12/560.89
  6. Step 6: Final answer
    x = 723.41

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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.