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Finding the Fourth Proportional to 928.89, 1,392.43 and 409.18

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Solution

The fourth proportional to 928.89, 1,392.43 and 409.18 is: 613.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.89 : 1,392.43 = 409.18 : x
  2. Step 2: Convert to fraction form
    928.89/1,392.43 = 409.18/x
  3. Step 3: Cross multiply
    928.89x = 1,392.43 × 409.18
  4. Step 4: Simplify right side
    928.89x = 569,754.51
  5. Step 5: Solve for x
    x = 569,754.51/928.89
  6. Step 6: Final answer
    x = 613.37

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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.