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Finding the Fourth Proportional to 663.54, 914.67 and 564.90

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Solution

The fourth proportional to 663.54, 914.67 and 564.90 is: 778.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.54 : 914.67 = 564.90 : x
  2. Step 2: Convert to fraction form
    663.54/914.67 = 564.90/x
  3. Step 3: Cross multiply
    663.54x = 914.67 × 564.90
  4. Step 4: Simplify right side
    663.54x = 516,697.08
  5. Step 5: Solve for x
    x = 516,697.08/663.54
  6. Step 6: Final answer
    x = 778.70

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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.