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Finding the Fourth Proportional to 1,403.64, 1,936.58 and 814.14

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Solution

The fourth proportional to 1,403.64, 1,936.58 and 814.14 is: 1,123.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.64 : 1,936.58 = 814.14 : x
  2. Step 2: Convert to fraction form
    1,403.64/1,936.58 = 814.14/x
  3. Step 3: Cross multiply
    1,403.64x = 1,936.58 × 814.14
  4. Step 4: Simplify right side
    1,403.64x = 1,576,647.24
  5. Step 5: Solve for x
    x = 1,576,647.24/1,403.64
  6. Step 6: Final answer
    x = 1,123.26

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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.