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Finding the Fourth Proportional to 1,243.90, 1,865.79 and 463.90

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Solution

The fourth proportional to 1,243.90, 1,865.79 and 463.90 is: 695.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.90 : 1,865.79 = 463.90 : x
  2. Step 2: Convert to fraction form
    1,243.90/1,865.79 = 463.90/x
  3. Step 3: Cross multiply
    1,243.90x = 1,865.79 × 463.90
  4. Step 4: Simplify right side
    1,243.90x = 865,539.98
  5. Step 5: Solve for x
    x = 865,539.98/1,243.90
  6. Step 6: Final answer
    x = 695.83

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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.