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Finding the Fourth Proportional to 1,772.78, 2,658.53 and 523.04

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Solution

The fourth proportional to 1,772.78, 2,658.53 and 523.04 is: 784.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.78 : 2,658.53 = 523.04 : x
  2. Step 2: Convert to fraction form
    1,772.78/2,658.53 = 523.04/x
  3. Step 3: Cross multiply
    1,772.78x = 2,658.53 × 523.04
  4. Step 4: Simplify right side
    1,772.78x = 1,390,501.62
  5. Step 5: Solve for x
    x = 1,390,501.62/1,772.78
  6. Step 6: Final answer
    x = 784.36

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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.