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Finding the Fourth Proportional to 926.27, 1,389.60 and 341.25

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Solution

The fourth proportional to 926.27, 1,389.60 and 341.25 is: 511.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.27 : 1,389.60 = 341.25 : x
  2. Step 2: Convert to fraction form
    926.27/1,389.60 = 341.25/x
  3. Step 3: Cross multiply
    926.27x = 1,389.60 × 341.25
  4. Step 4: Simplify right side
    926.27x = 474,201.00
  5. Step 5: Solve for x
    x = 474,201.00/926.27
  6. Step 6: Final answer
    x = 511.95

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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.