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Finding the Fourth Proportional to 928.24, 1,393.03 and 654.59

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Solution

The fourth proportional to 928.24, 1,393.03 and 654.59 is: 982.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.24 : 1,393.03 = 654.59 : x
  2. Step 2: Convert to fraction form
    928.24/1,393.03 = 654.59/x
  3. Step 3: Cross multiply
    928.24x = 1,393.03 × 654.59
  4. Step 4: Simplify right side
    928.24x = 911,863.51
  5. Step 5: Solve for x
    x = 911,863.51/928.24
  6. Step 6: Final answer
    x = 982.36

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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.