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Finding the Fourth Proportional to 1,014.72, 1,522.35 and 365.52

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Solution

The fourth proportional to 1,014.72, 1,522.35 and 365.52 is: 548.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.72 : 1,522.35 = 365.52 : x
  2. Step 2: Convert to fraction form
    1,014.72/1,522.35 = 365.52/x
  3. Step 3: Cross multiply
    1,014.72x = 1,522.35 × 365.52
  4. Step 4: Simplify right side
    1,014.72x = 556,449.37
  5. Step 5: Solve for x
    x = 556,449.37/1,014.72
  6. Step 6: Final answer
    x = 548.38

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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.