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Finding the Fourth Proportional to 1,365.62, 2,048.55 and 487.91

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Solution

The fourth proportional to 1,365.62, 2,048.55 and 487.91 is: 731.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.62 : 2,048.55 = 487.91 : x
  2. Step 2: Convert to fraction form
    1,365.62/2,048.55 = 487.91/x
  3. Step 3: Cross multiply
    1,365.62x = 2,048.55 × 487.91
  4. Step 4: Simplify right side
    1,365.62x = 999,497.79
  5. Step 5: Solve for x
    x = 999,497.79/1,365.62
  6. Step 6: Final answer
    x = 731.90

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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.