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Finding the Fourth Proportional to 794.63, 1,191.71 and 307.57

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Solution

The fourth proportional to 794.63, 1,191.71 and 307.57 is: 461.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.63 : 1,191.71 = 307.57 : x
  2. Step 2: Convert to fraction form
    794.63/1,191.71 = 307.57/x
  3. Step 3: Cross multiply
    794.63x = 1,191.71 × 307.57
  4. Step 4: Simplify right side
    794.63x = 366,526.75
  5. Step 5: Solve for x
    x = 366,526.75/794.63
  6. Step 6: Final answer
    x = 461.26

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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.