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Finding the Fourth Proportional to 928.26, 1,390.77 and 494.64

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Solution

The fourth proportional to 928.26, 1,390.77 and 494.64 is: 741.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.26 : 1,390.77 = 494.64 : x
  2. Step 2: Convert to fraction form
    928.26/1,390.77 = 494.64/x
  3. Step 3: Cross multiply
    928.26x = 1,390.77 × 494.64
  4. Step 4: Simplify right side
    928.26x = 687,930.47
  5. Step 5: Solve for x
    x = 687,930.47/928.26
  6. Step 6: Final answer
    x = 741.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.