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Finding the Fourth Proportional to 928.87, 1,392.09 and 409.00

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Solution

The fourth proportional to 928.87, 1,392.09 and 409.00 is: 612.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.87 : 1,392.09 = 409.00 : x
  2. Step 2: Convert to fraction form
    928.87/1,392.09 = 409.00/x
  3. Step 3: Cross multiply
    928.87x = 1,392.09 × 409.00
  4. Step 4: Simplify right side
    928.87x = 569,362.41
  5. Step 5: Solve for x
    x = 569,362.41/928.87
  6. Step 6: Final answer
    x = 612.96

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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.