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Finding the Fourth Proportional to 750.90, 1,036.34 and 456.20

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Solution

The fourth proportional to 750.90, 1,036.34 and 456.20 is: 629.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.90 : 1,036.34 = 456.20 : x
  2. Step 2: Convert to fraction form
    750.90/1,036.34 = 456.20/x
  3. Step 3: Cross multiply
    750.90x = 1,036.34 × 456.20
  4. Step 4: Simplify right side
    750.90x = 472,778.31
  5. Step 5: Solve for x
    x = 472,778.31/750.90
  6. Step 6: Final answer
    x = 629.62

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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.