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Finding the Fourth Proportional to 1,086.37, 1,499.16 and 614.32

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Solution

The fourth proportional to 1,086.37, 1,499.16 and 614.32 is: 847.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.37 : 1,499.16 = 614.32 : x
  2. Step 2: Convert to fraction form
    1,086.37/1,499.16 = 614.32/x
  3. Step 3: Cross multiply
    1,086.37x = 1,499.16 × 614.32
  4. Step 4: Simplify right side
    1,086.37x = 920,963.97
  5. Step 5: Solve for x
    x = 920,963.97/1,086.37
  6. Step 6: Final answer
    x = 847.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.