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Finding the Fourth Proportional to 1,498.25, 2,246.82 and 718.22

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Solution

The fourth proportional to 1,498.25, 2,246.82 and 718.22 is: 1,077.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.25 : 2,246.82 = 718.22 : x
  2. Step 2: Convert to fraction form
    1,498.25/2,246.82 = 718.22/x
  3. Step 3: Cross multiply
    1,498.25x = 2,246.82 × 718.22
  4. Step 4: Simplify right side
    1,498.25x = 1,613,699.83
  5. Step 5: Solve for x
    x = 1,613,699.83/1,498.25
  6. Step 6: Final answer
    x = 1,077.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.