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Finding the Fourth Proportional to 1,078.21, 1,488.00 and 658.45

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Solution

The fourth proportional to 1,078.21, 1,488.00 and 658.45 is: 908.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.21 : 1,488.00 = 658.45 : x
  2. Step 2: Convert to fraction form
    1,078.21/1,488.00 = 658.45/x
  3. Step 3: Cross multiply
    1,078.21x = 1,488.00 × 658.45
  4. Step 4: Simplify right side
    1,078.21x = 979,776.56
  5. Step 5: Solve for x
    x = 979,776.56/1,078.21
  6. Step 6: Final answer
    x = 908.71

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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.