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Finding the Fourth Proportional to 1,483.31, 2,046.87 and 820.13

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Solution

The fourth proportional to 1,483.31, 2,046.87 and 820.13 is: 1,131.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.31 : 2,046.87 = 820.13 : x
  2. Step 2: Convert to fraction form
    1,483.31/2,046.87 = 820.13/x
  3. Step 3: Cross multiply
    1,483.31x = 2,046.87 × 820.13
  4. Step 4: Simplify right side
    1,483.31x = 1,678,689.26
  5. Step 5: Solve for x
    x = 1,678,689.26/1,483.31
  6. Step 6: Final answer
    x = 1,131.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.