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Finding the Fourth Proportional to 1,119.49, 1,679.75 and 503.36

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Solution

The fourth proportional to 1,119.49, 1,679.75 and 503.36 is: 755.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.49 : 1,679.75 = 503.36 : x
  2. Step 2: Convert to fraction form
    1,119.49/1,679.75 = 503.36/x
  3. Step 3: Cross multiply
    1,119.49x = 1,679.75 × 503.36
  4. Step 4: Simplify right side
    1,119.49x = 845,518.96
  5. Step 5: Solve for x
    x = 845,518.96/1,119.49
  6. Step 6: Final answer
    x = 755.27

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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.