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Finding the Fourth Proportional to 750.82, 1,036.05 and 456.07

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Solution

The fourth proportional to 750.82, 1,036.05 and 456.07 is: 629.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.82 : 1,036.05 = 456.07 : x
  2. Step 2: Convert to fraction form
    750.82/1,036.05 = 456.07/x
  3. Step 3: Cross multiply
    750.82x = 1,036.05 × 456.07
  4. Step 4: Simplify right side
    750.82x = 472,511.32
  5. Step 5: Solve for x
    x = 472,511.32/750.82
  6. Step 6: Final answer
    x = 629.33

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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.