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Finding the Fourth Proportional to 1,243.06, 1,865.58 and 658.72

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Solution

The fourth proportional to 1,243.06, 1,865.58 and 658.72 is: 988.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.06 : 1,865.58 = 658.72 : x
  2. Step 2: Convert to fraction form
    1,243.06/1,865.58 = 658.72/x
  3. Step 3: Cross multiply
    1,243.06x = 1,865.58 × 658.72
  4. Step 4: Simplify right side
    1,243.06x = 1,228,894.86
  5. Step 5: Solve for x
    x = 1,228,894.86/1,243.06
  6. Step 6: Final answer
    x = 988.60

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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.