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Finding the Fourth Proportional to 744.76, 1,028.91 and 496

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Solution

The fourth proportional to 744.76, 1,028.91 and 496 is: 685.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.76 : 1,028.91 = 496 : x
  2. Step 2: Convert to fraction form
    744.76/1,028.91 = 496/x
  3. Step 3: Cross multiply
    744.76x = 1,028.91 × 496
  4. Step 4: Simplify right side
    744.76x = 510,339.36
  5. Step 5: Solve for x
    x = 510,339.36/744.76
  6. Step 6: Final answer
    x = 685.24

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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.