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Finding the Fourth Proportional to 744.89, 1,028.15 and 523.93

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Solution

The fourth proportional to 744.89, 1,028.15 and 523.93 is: 723.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.89 : 1,028.15 = 523.93 : x
  2. Step 2: Convert to fraction form
    744.89/1,028.15 = 523.93/x
  3. Step 3: Cross multiply
    744.89x = 1,028.15 × 523.93
  4. Step 4: Simplify right side
    744.89x = 538,670.87
  5. Step 5: Solve for x
    x = 538,670.87/744.89
  6. Step 6: Final answer
    x = 723.15

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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.