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Finding the Fourth Proportional to 1,086.47, 1,499.27 and 614.37

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Solution

The fourth proportional to 1,086.47, 1,499.27 and 614.37 is: 847.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.47 : 1,499.27 = 614.37 : x
  2. Step 2: Convert to fraction form
    1,086.47/1,499.27 = 614.37/x
  3. Step 3: Cross multiply
    1,086.47x = 1,499.27 × 614.37
  4. Step 4: Simplify right side
    1,086.47x = 921,106.51
  5. Step 5: Solve for x
    x = 921,106.51/1,086.47
  6. Step 6: Final answer
    x = 847.80

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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.