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Finding the Fourth Proportional to 1,497.43, 2,246.25 and 457.36

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Solution

The fourth proportional to 1,497.43, 2,246.25 and 457.36 is: 686.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.43 : 2,246.25 = 457.36 : x
  2. Step 2: Convert to fraction form
    1,497.43/2,246.25 = 457.36/x
  3. Step 3: Cross multiply
    1,497.43x = 2,246.25 × 457.36
  4. Step 4: Simplify right side
    1,497.43x = 1,027,344.90
  5. Step 5: Solve for x
    x = 1,027,344.90/1,497.43
  6. Step 6: Final answer
    x = 686.07

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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.