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Finding the Fourth Proportional to 789.84, 1,089.86 and 475.04

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Solution

The fourth proportional to 789.84, 1,089.86 and 475.04 is: 655.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.84 : 1,089.86 = 475.04 : x
  2. Step 2: Convert to fraction form
    789.84/1,089.86 = 475.04/x
  3. Step 3: Cross multiply
    789.84x = 1,089.86 × 475.04
  4. Step 4: Simplify right side
    789.84x = 517,719.27
  5. Step 5: Solve for x
    x = 517,719.27/789.84
  6. Step 6: Final answer
    x = 655.47

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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.