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Finding the Fourth Proportional to 1,086.95, 1,499.97 and 614.81

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Solution

The fourth proportional to 1,086.95, 1,499.97 and 614.81 is: 848.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.95 : 1,499.97 = 614.81 : x
  2. Step 2: Convert to fraction form
    1,086.95/1,499.97 = 614.81/x
  3. Step 3: Cross multiply
    1,086.95x = 1,499.97 × 614.81
  4. Step 4: Simplify right side
    1,086.95x = 922,197.77
  5. Step 5: Solve for x
    x = 922,197.77/1,086.95
  6. Step 6: Final answer
    x = 848.43

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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.