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Finding the Fourth Proportional to 1,404.51, 1,938.17 and 806.82

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Solution

The fourth proportional to 1,404.51, 1,938.17 and 806.82 is: 1,113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.51 : 1,938.17 = 806.82 : x
  2. Step 2: Convert to fraction form
    1,404.51/1,938.17 = 806.82/x
  3. Step 3: Cross multiply
    1,404.51x = 1,938.17 × 806.82
  4. Step 4: Simplify right side
    1,404.51x = 1,563,750.29
  5. Step 5: Solve for x
    x = 1,563,750.29/1,404.51
  6. Step 6: Final answer
    x = 1,113.38

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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.