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Finding the Fourth Proportional to 1,182.74, 1,632.15 and 658.73

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Solution

The fourth proportional to 1,182.74, 1,632.15 and 658.73 is: 909.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.74 : 1,632.15 = 658.73 : x
  2. Step 2: Convert to fraction form
    1,182.74/1,632.15 = 658.73/x
  3. Step 3: Cross multiply
    1,182.74x = 1,632.15 × 658.73
  4. Step 4: Simplify right side
    1,182.74x = 1,075,150.25
  5. Step 5: Solve for x
    x = 1,075,150.25/1,182.74
  6. Step 6: Final answer
    x = 909.04

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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.