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Finding the Fourth Proportional to 1,493.16, 2,239.74 and 519.96

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Solution

The fourth proportional to 1,493.16, 2,239.74 and 519.96 is: 779.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.16 : 2,239.74 = 519.96 : x
  2. Step 2: Convert to fraction form
    1,493.16/2,239.74 = 519.96/x
  3. Step 3: Cross multiply
    1,493.16x = 2,239.74 × 519.96
  4. Step 4: Simplify right side
    1,493.16x = 1,164,575.21
  5. Step 5: Solve for x
    x = 1,164,575.21/1,493.16
  6. Step 6: Final answer
    x = 779.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.