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Finding the Fourth Proportional to 663.42, 994.52 and 565.94

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Solution

The fourth proportional to 663.42, 994.52 and 565.94 is: 848.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.42 : 994.52 = 565.94 : x
  2. Step 2: Convert to fraction form
    663.42/994.52 = 565.94/x
  3. Step 3: Cross multiply
    663.42x = 994.52 × 565.94
  4. Step 4: Simplify right side
    663.42x = 562,838.65
  5. Step 5: Solve for x
    x = 562,838.65/663.42
  6. Step 6: Final answer
    x = 848.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.