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Finding the Fourth Proportional to 663.24, 912.61 and 557.94

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Solution

The fourth proportional to 663.24, 912.61 and 557.94 is: 767.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.24 : 912.61 = 557.94 : x
  2. Step 2: Convert to fraction form
    663.24/912.61 = 557.94/x
  3. Step 3: Cross multiply
    663.24x = 912.61 × 557.94
  4. Step 4: Simplify right side
    663.24x = 509,175.67
  5. Step 5: Solve for x
    x = 509,175.67/663.24
  6. Step 6: Final answer
    x = 767.72

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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.