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Finding the Fourth Proportional to 794.30, 1,191.02 and 307.22

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Solution

The fourth proportional to 794.30, 1,191.02 and 307.22 is: 460.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.30 : 1,191.02 = 307.22 : x
  2. Step 2: Convert to fraction form
    794.30/1,191.02 = 307.22/x
  3. Step 3: Cross multiply
    794.30x = 1,191.02 × 307.22
  4. Step 4: Simplify right side
    794.30x = 365,905.16
  5. Step 5: Solve for x
    x = 365,905.16/794.30
  6. Step 6: Final answer
    x = 460.66

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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.