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Finding the Fourth Proportional to 1,365.52, 2,048.04 and 364.88

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Solution

The fourth proportional to 1,365.52, 2,048.04 and 364.88 is: 547.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.52 : 2,048.04 = 364.88 : x
  2. Step 2: Convert to fraction form
    1,365.52/2,048.04 = 364.88/x
  3. Step 3: Cross multiply
    1,365.52x = 2,048.04 × 364.88
  4. Step 4: Simplify right side
    1,365.52x = 747,288.84
  5. Step 5: Solve for x
    x = 747,288.84/1,365.52
  6. Step 6: Final answer
    x = 547.26

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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.