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Finding the Fourth Proportional to 1,239.49, 1,855.45 and 1,064.53

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Solution

The fourth proportional to 1,239.49, 1,855.45 and 1,064.53 is: 1,593.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.49 : 1,855.45 = 1,064.53 : x
  2. Step 2: Convert to fraction form
    1,239.49/1,855.45 = 1,064.53/x
  3. Step 3: Cross multiply
    1,239.49x = 1,855.45 × 1,064.53
  4. Step 4: Simplify right side
    1,239.49x = 1,975,182.19
  5. Step 5: Solve for x
    x = 1,975,182.19/1,239.49
  6. Step 6: Final answer
    x = 1,593.54

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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.