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Finding the Fourth Proportional to 833.03, 1,247.60 and 658.52

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Solution

The fourth proportional to 833.03, 1,247.60 and 658.52 is: 986.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.03 : 1,247.60 = 658.52 : x
  2. Step 2: Convert to fraction form
    833.03/1,247.60 = 658.52/x
  3. Step 3: Cross multiply
    833.03x = 1,247.60 × 658.52
  4. Step 4: Simplify right side
    833.03x = 821,569.38
  5. Step 5: Solve for x
    x = 821,569.38/833.03
  6. Step 6: Final answer
    x = 986.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.