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Finding the Fourth Proportional to 744.89, 1,027.64 and 465.23

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Solution

The fourth proportional to 744.89, 1,027.64 and 465.23 is: 641.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.89 : 1,027.64 = 465.23 : x
  2. Step 2: Convert to fraction form
    744.89/1,027.64 = 465.23/x
  3. Step 3: Cross multiply
    744.89x = 1,027.64 × 465.23
  4. Step 4: Simplify right side
    744.89x = 478,089.20
  5. Step 5: Solve for x
    x = 478,089.20/744.89
  6. Step 6: Final answer
    x = 641.83

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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.