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Finding the Fourth Proportional to 917.57, 1,373.64 and 823.73

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Solution

The fourth proportional to 917.57, 1,373.64 and 823.73 is: 1,233.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.57 : 1,373.64 = 823.73 : x
  2. Step 2: Convert to fraction form
    917.57/1,373.64 = 823.73/x
  3. Step 3: Cross multiply
    917.57x = 1,373.64 × 823.73
  4. Step 4: Simplify right side
    917.57x = 1,131,508.48
  5. Step 5: Solve for x
    x = 1,131,508.48/917.57
  6. Step 6: Final answer
    x = 1,233.16

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Why These Related Problems?

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