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Finding the Fourth Proportional to 669.54, 998.40 and 578.82

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Solution

The fourth proportional to 669.54, 998.40 and 578.82 is: 863.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.54 : 998.40 = 578.82 : x
  2. Step 2: Convert to fraction form
    669.54/998.40 = 578.82/x
  3. Step 3: Cross multiply
    669.54x = 998.40 × 578.82
  4. Step 4: Simplify right side
    669.54x = 577,893.89
  5. Step 5: Solve for x
    x = 577,893.89/669.54
  6. Step 6: Final answer
    x = 863.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.