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Finding the Fourth Proportional to 1,483.04, 2,046.72 and 862

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Solution

The fourth proportional to 1,483.04, 2,046.72 and 862 is: 1,189.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.04 : 2,046.72 = 862 : x
  2. Step 2: Convert to fraction form
    1,483.04/2,046.72 = 862/x
  3. Step 3: Cross multiply
    1,483.04x = 2,046.72 × 862
  4. Step 4: Simplify right side
    1,483.04x = 1,764,272.64
  5. Step 5: Solve for x
    x = 1,764,272.64/1,483.04
  6. Step 6: Final answer
    x = 1,189.63

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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.