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Finding the Fourth Proportional to 833.28, 1,150.32 and 658.56

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Solution

The fourth proportional to 833.28, 1,150.32 and 658.56 is: 909.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.28 : 1,150.32 = 658.56 : x
  2. Step 2: Convert to fraction form
    833.28/1,150.32 = 658.56/x
  3. Step 3: Cross multiply
    833.28x = 1,150.32 × 658.56
  4. Step 4: Simplify right side
    833.28x = 757,554.74
  5. Step 5: Solve for x
    x = 757,554.74/833.28
  6. Step 6: Final answer
    x = 909.12

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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.