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Finding the Fourth Proportional to 1,199.68, 1,800.02 and 506.50

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Solution

The fourth proportional to 1,199.68, 1,800.02 and 506.50 is: 759.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.68 : 1,800.02 = 506.50 : x
  2. Step 2: Convert to fraction form
    1,199.68/1,800.02 = 506.50/x
  3. Step 3: Cross multiply
    1,199.68x = 1,800.02 × 506.50
  4. Step 4: Simplify right side
    1,199.68x = 911,710.13
  5. Step 5: Solve for x
    x = 911,710.13/1,199.68
  6. Step 6: Final answer
    x = 759.96

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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.