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Finding the Fourth Proportional to 1,073.72, 1,610.72 and 415.58

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Solution

The fourth proportional to 1,073.72, 1,610.72 and 415.58 is: 623.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.72 : 1,610.72 = 415.58 : x
  2. Step 2: Convert to fraction form
    1,073.72/1,610.72 = 415.58/x
  3. Step 3: Cross multiply
    1,073.72x = 1,610.72 × 415.58
  4. Step 4: Simplify right side
    1,073.72x = 669,372.89
  5. Step 5: Solve for x
    x = 669,372.89/1,073.72
  6. Step 6: Final answer
    x = 623.42

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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.