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Finding the Fourth Proportional to 1,476.19, 2,037.14 and 813.03

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Solution

The fourth proportional to 1,476.19, 2,037.14 and 813.03 is: 1,121.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.19 : 2,037.14 = 813.03 : x
  2. Step 2: Convert to fraction form
    1,476.19/2,037.14 = 813.03/x
  3. Step 3: Cross multiply
    1,476.19x = 2,037.14 × 813.03
  4. Step 4: Simplify right side
    1,476.19x = 1,656,251.87
  5. Step 5: Solve for x
    x = 1,656,251.87/1,476.19
  6. Step 6: Final answer
    x = 1,121.98

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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.