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Finding the Fourth Proportional to 1,476.98, 2,038.16 and 813.71

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Solution

The fourth proportional to 1,476.98, 2,038.16 and 813.71 is: 1,122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.98 : 2,038.16 = 813.71 : x
  2. Step 2: Convert to fraction form
    1,476.98/2,038.16 = 813.71/x
  3. Step 3: Cross multiply
    1,476.98x = 2,038.16 × 813.71
  4. Step 4: Simplify right side
    1,476.98x = 1,658,471.17
  5. Step 5: Solve for x
    x = 1,658,471.17/1,476.98
  6. Step 6: Final answer
    x = 1,122.88

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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.