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Finding the Fourth Proportional to 1,365.72, 2,048.96 and 500.12

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Solution

The fourth proportional to 1,365.72, 2,048.96 and 500.12 is: 750.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.72 : 2,048.96 = 500.12 : x
  2. Step 2: Convert to fraction form
    1,365.72/2,048.96 = 500.12/x
  3. Step 3: Cross multiply
    1,365.72x = 2,048.96 × 500.12
  4. Step 4: Simplify right side
    1,365.72x = 1,024,725.88
  5. Step 5: Solve for x
    x = 1,024,725.88/1,365.72
  6. Step 6: Final answer
    x = 750.32

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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.