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Finding the Fourth Proportional to 750.82, 1,036.13 and 419.25

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Solution

The fourth proportional to 750.82, 1,036.13 and 419.25 is: 578.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.82 : 1,036.13 = 419.25 : x
  2. Step 2: Convert to fraction form
    750.82/1,036.13 = 419.25/x
  3. Step 3: Cross multiply
    750.82x = 1,036.13 × 419.25
  4. Step 4: Simplify right side
    750.82x = 434,399.29
  5. Step 5: Solve for x
    x = 434,399.29/750.82
  6. Step 6: Final answer
    x = 578.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.