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Finding the Fourth Proportional to 1,193.83, 1,791.27 and 463.46

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Solution

The fourth proportional to 1,193.83, 1,791.27 and 463.46 is: 695.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.83 : 1,791.27 = 463.46 : x
  2. Step 2: Convert to fraction form
    1,193.83/1,791.27 = 463.46/x
  3. Step 3: Cross multiply
    1,193.83x = 1,791.27 × 463.46
  4. Step 4: Simplify right side
    1,193.83x = 830,179.76
  5. Step 5: Solve for x
    x = 830,179.76/1,193.83
  6. Step 6: Final answer
    x = 695.39

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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.