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Finding the Fourth Proportional to 794.60, 1,191.78 and 307.70

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Solution

The fourth proportional to 794.60, 1,191.78 and 307.70 is: 461.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.60 : 1,191.78 = 307.70 : x
  2. Step 2: Convert to fraction form
    794.60/1,191.78 = 307.70/x
  3. Step 3: Cross multiply
    794.60x = 1,191.78 × 307.70
  4. Step 4: Simplify right side
    794.60x = 366,710.71
  5. Step 5: Solve for x
    x = 366,710.71/794.60
  6. Step 6: Final answer
    x = 461.50

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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.