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Finding the Fourth Proportional to 1,497.06, 2,245.56 and 401.40

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Solution

The fourth proportional to 1,497.06, 2,245.56 and 401.40 is: 602.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.06 : 2,245.56 = 401.40 : x
  2. Step 2: Convert to fraction form
    1,497.06/2,245.56 = 401.40/x
  3. Step 3: Cross multiply
    1,497.06x = 2,245.56 × 401.40
  4. Step 4: Simplify right side
    1,497.06x = 901,367.78
  5. Step 5: Solve for x
    x = 901,367.78/1,497.06
  6. Step 6: Final answer
    x = 602.09

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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.