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Finding the Fourth Proportional to 931.92, 1,390.98 and 823.74

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Solution

The fourth proportional to 931.92, 1,390.98 and 823.74 is: 1,229.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.92 : 1,390.98 = 823.74 : x
  2. Step 2: Convert to fraction form
    931.92/1,390.98 = 823.74/x
  3. Step 3: Cross multiply
    931.92x = 1,390.98 × 823.74
  4. Step 4: Simplify right side
    931.92x = 1,145,805.87
  5. Step 5: Solve for x
    x = 1,145,805.87/931.92
  6. Step 6: Final answer
    x = 1,229.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.