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Finding the Fourth Proportional to 928.48, 1,392.72 and 543.46

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Solution

The fourth proportional to 928.48, 1,392.72 and 543.46 is: 815.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.48 : 1,392.72 = 543.46 : x
  2. Step 2: Convert to fraction form
    928.48/1,392.72 = 543.46/x
  3. Step 3: Cross multiply
    928.48x = 1,392.72 × 543.46
  4. Step 4: Simplify right side
    928.48x = 756,887.61
  5. Step 5: Solve for x
    x = 756,887.61/928.48
  6. Step 6: Final answer
    x = 815.19

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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.