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Finding the Fourth Proportional to 744.22, 1,027.52 and 665.28

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Solution

The fourth proportional to 744.22, 1,027.52 and 665.28 is: 918.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.22 : 1,027.52 = 665.28 : x
  2. Step 2: Convert to fraction form
    744.22/1,027.52 = 665.28/x
  3. Step 3: Cross multiply
    744.22x = 1,027.52 × 665.28
  4. Step 4: Simplify right side
    744.22x = 683,587.67
  5. Step 5: Solve for x
    x = 683,587.67/744.22
  6. Step 6: Final answer
    x = 918.53

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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.