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Finding the Fourth Proportional to 1,497.78, 2,245.92 and 523.74

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Solution

The fourth proportional to 1,497.78, 2,245.92 and 523.74 is: 785.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.78 : 2,245.92 = 523.74 : x
  2. Step 2: Convert to fraction form
    1,497.78/2,245.92 = 523.74/x
  3. Step 3: Cross multiply
    1,497.78x = 2,245.92 × 523.74
  4. Step 4: Simplify right side
    1,497.78x = 1,176,278.14
  5. Step 5: Solve for x
    x = 1,176,278.14/1,497.78
  6. Step 6: Final answer
    x = 785.35

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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.