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Finding the Fourth Proportional to 1,483.20, 2,046.81 and 820.08

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Solution

The fourth proportional to 1,483.20, 2,046.81 and 820.08 is: 1,131.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.20 : 2,046.81 = 820.08 : x
  2. Step 2: Convert to fraction form
    1,483.20/2,046.81 = 820.08/x
  3. Step 3: Cross multiply
    1,483.20x = 2,046.81 × 820.08
  4. Step 4: Simplify right side
    1,483.20x = 1,678,547.94
  5. Step 5: Solve for x
    x = 1,678,547.94/1,483.20
  6. Step 6: Final answer
    x = 1,131.71

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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.