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Finding the Fourth Proportional to 928.02, 1,391.37 and 465.46

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Solution

The fourth proportional to 928.02, 1,391.37 and 465.46 is: 697.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.02 : 1,391.37 = 465.46 : x
  2. Step 2: Convert to fraction form
    928.02/1,391.37 = 465.46/x
  3. Step 3: Cross multiply
    928.02x = 1,391.37 × 465.46
  4. Step 4: Simplify right side
    928.02x = 647,627.07
  5. Step 5: Solve for x
    x = 647,627.07/928.02
  6. Step 6: Final answer
    x = 697.86

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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.