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Finding the Fourth Proportional to 1,365.83, 2,048.01 and 487.98

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Solution

The fourth proportional to 1,365.83, 2,048.01 and 487.98 is: 731.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.83 : 2,048.01 = 487.98 : x
  2. Step 2: Convert to fraction form
    1,365.83/2,048.01 = 487.98/x
  3. Step 3: Cross multiply
    1,365.83x = 2,048.01 × 487.98
  4. Step 4: Simplify right side
    1,365.83x = 999,387.92
  5. Step 5: Solve for x
    x = 999,387.92/1,365.83
  6. Step 6: Final answer
    x = 731.71

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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.