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Finding the Fourth Proportional to 928.17, 1,392.65 and 465.71

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Solution

The fourth proportional to 928.17, 1,392.65 and 465.71 is: 698.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.17 : 1,392.65 = 465.71 : x
  2. Step 2: Convert to fraction form
    928.17/1,392.65 = 465.71/x
  3. Step 3: Cross multiply
    928.17x = 1,392.65 × 465.71
  4. Step 4: Simplify right side
    928.17x = 648,563.32
  5. Step 5: Solve for x
    x = 648,563.32/928.17
  6. Step 6: Final answer
    x = 698.76

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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.