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Finding the Fourth Proportional to 1,403.05, 1,936.21 and 813.93

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Solution

The fourth proportional to 1,403.05, 1,936.21 and 813.93 is: 1,123.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.05 : 1,936.21 = 813.93 : x
  2. Step 2: Convert to fraction form
    1,403.05/1,936.21 = 813.93/x
  3. Step 3: Cross multiply
    1,403.05x = 1,936.21 × 813.93
  4. Step 4: Simplify right side
    1,403.05x = 1,575,939.41
  5. Step 5: Solve for x
    x = 1,575,939.41/1,403.05
  6. Step 6: Final answer
    x = 1,123.23

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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.