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Finding the Fourth Proportional to 1,493.08, 2,239.63 and 518.50

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Solution

The fourth proportional to 1,493.08, 2,239.63 and 518.50 is: 777.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.08 : 2,239.63 = 518.50 : x
  2. Step 2: Convert to fraction form
    1,493.08/2,239.63 = 518.50/x
  3. Step 3: Cross multiply
    1,493.08x = 2,239.63 × 518.50
  4. Step 4: Simplify right side
    1,493.08x = 1,161,248.16
  5. Step 5: Solve for x
    x = 1,161,248.16/1,493.08
  6. Step 6: Final answer
    x = 777.75

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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.