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Finding the Fourth Proportional to 1,395.66, 2,093.80 and 471.14

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Solution

The fourth proportional to 1,395.66, 2,093.80 and 471.14 is: 706.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.66 : 2,093.80 = 471.14 : x
  2. Step 2: Convert to fraction form
    1,395.66/2,093.80 = 471.14/x
  3. Step 3: Cross multiply
    1,395.66x = 2,093.80 × 471.14
  4. Step 4: Simplify right side
    1,395.66x = 986,472.93
  5. Step 5: Solve for x
    x = 986,472.93/1,395.66
  6. Step 6: Final answer
    x = 706.81

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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.