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Finding the Fourth Proportional to 1,539.53, 2,309.52 and 499.34

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Solution

The fourth proportional to 1,539.53, 2,309.52 and 499.34 is: 749.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.53 : 2,309.52 = 499.34 : x
  2. Step 2: Convert to fraction form
    1,539.53/2,309.52 = 499.34/x
  3. Step 3: Cross multiply
    1,539.53x = 2,309.52 × 499.34
  4. Step 4: Simplify right side
    1,539.53x = 1,153,224.17
  5. Step 5: Solve for x
    x = 1,153,224.17/1,539.53
  6. Step 6: Final answer
    x = 749.08

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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.