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Finding the Fourth Proportional to 751.32, 1,036.67 and 456.43

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Solution

The fourth proportional to 751.32, 1,036.67 and 456.43 is: 629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.32 : 1,036.67 = 456.43 : x
  2. Step 2: Convert to fraction form
    751.32/1,036.67 = 456.43/x
  3. Step 3: Cross multiply
    751.32x = 1,036.67 × 456.43
  4. Step 4: Simplify right side
    751.32x = 473,167.29
  5. Step 5: Solve for x
    x = 473,167.29/751.32
  6. Step 6: Final answer
    x = 629.78

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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.