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Finding the Fourth Proportional to 1,497.33, 2,246.11 and 457.25

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Solution

The fourth proportional to 1,497.33, 2,246.11 and 457.25 is: 685.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.33 : 2,246.11 = 457.25 : x
  2. Step 2: Convert to fraction form
    1,497.33/2,246.11 = 457.25/x
  3. Step 3: Cross multiply
    1,497.33x = 2,246.11 × 457.25
  4. Step 4: Simplify right side
    1,497.33x = 1,027,021.42
  5. Step 5: Solve for x
    x = 1,027,021.42/1,497.33
  6. Step 6: Final answer
    x = 685.90

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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.