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Finding the Fourth Proportional to 926.74, 1,391.71 and 822.86

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Solution

The fourth proportional to 926.74, 1,391.71 and 822.86 is: 1,235.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.74 : 1,391.71 = 822.86 : x
  2. Step 2: Convert to fraction form
    926.74/1,391.71 = 822.86/x
  3. Step 3: Cross multiply
    926.74x = 1,391.71 × 822.86
  4. Step 4: Simplify right side
    926.74x = 1,145,178.38
  5. Step 5: Solve for x
    x = 1,145,178.38/926.74
  6. Step 6: Final answer
    x = 1,235.70

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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.