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Finding the Fourth Proportional to 797.93, 1,195.29 and 623.73

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Solution

The fourth proportional to 797.93, 1,195.29 and 623.73 is: 934.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.93 : 1,195.29 = 623.73 : x
  2. Step 2: Convert to fraction form
    797.93/1,195.29 = 623.73/x
  3. Step 3: Cross multiply
    797.93x = 1,195.29 × 623.73
  4. Step 4: Simplify right side
    797.93x = 745,533.81
  5. Step 5: Solve for x
    x = 745,533.81/797.93
  6. Step 6: Final answer
    x = 934.34

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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.