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Finding the Fourth Proportional to 744.69, 1,028.46 and 465.58

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Solution

The fourth proportional to 744.69, 1,028.46 and 465.58 is: 642.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.69 : 1,028.46 = 465.58 : x
  2. Step 2: Convert to fraction form
    744.69/1,028.46 = 465.58/x
  3. Step 3: Cross multiply
    744.69x = 1,028.46 × 465.58
  4. Step 4: Simplify right side
    744.69x = 478,833.44
  5. Step 5: Solve for x
    x = 478,833.44/744.69
  6. Step 6: Final answer
    x = 642.99

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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.