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Finding the Fourth Proportional to 1,365.82, 2,048.71 and 500.13

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Solution

The fourth proportional to 1,365.82, 2,048.71 and 500.13 is: 750.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.82 : 2,048.71 = 500.13 : x
  2. Step 2: Convert to fraction form
    1,365.82/2,048.71 = 500.13/x
  3. Step 3: Cross multiply
    1,365.82x = 2,048.71 × 500.13
  4. Step 4: Simplify right side
    1,365.82x = 1,024,621.33
  5. Step 5: Solve for x
    x = 1,024,621.33/1,365.82
  6. Step 6: Final answer
    x = 750.19

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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.