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Finding the Fourth Proportional to 1,194.03, 1,791.71 and 463.65

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Solution

The fourth proportional to 1,194.03, 1,791.71 and 463.65 is: 695.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.03 : 1,791.71 = 463.65 : x
  2. Step 2: Convert to fraction form
    1,194.03/1,791.71 = 463.65/x
  3. Step 3: Cross multiply
    1,194.03x = 1,791.71 × 463.65
  4. Step 4: Simplify right side
    1,194.03x = 830,726.34
  5. Step 5: Solve for x
    x = 830,726.34/1,194.03
  6. Step 6: Final answer
    x = 695.73

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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.