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Finding the Fourth Proportional to 1,200.19, 1,800.99 and 506.81

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Solution

The fourth proportional to 1,200.19, 1,800.99 and 506.81 is: 760.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.19 : 1,800.99 = 506.81 : x
  2. Step 2: Convert to fraction form
    1,200.19/1,800.99 = 506.81/x
  3. Step 3: Cross multiply
    1,200.19x = 1,800.99 × 506.81
  4. Step 4: Simplify right side
    1,200.19x = 912,764.24
  5. Step 5: Solve for x
    x = 912,764.24/1,200.19
  6. Step 6: Final answer
    x = 760.52

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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.