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Finding the Fourth Proportional to 1,365.64, 2,048.34 and 440.95

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Solution

The fourth proportional to 1,365.64, 2,048.34 and 440.95 is: 661.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.64 : 2,048.34 = 440.95 : x
  2. Step 2: Convert to fraction form
    1,365.64/2,048.34 = 440.95/x
  3. Step 3: Cross multiply
    1,365.64x = 2,048.34 × 440.95
  4. Step 4: Simplify right side
    1,365.64x = 903,215.52
  5. Step 5: Solve for x
    x = 903,215.52/1,365.64
  6. Step 6: Final answer
    x = 661.39

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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.