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Finding the Fourth Proportional to 1,199.95, 1,800.17 and 506.62

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Solution

The fourth proportional to 1,199.95, 1,800.17 and 506.62 is: 760.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.95 : 1,800.17 = 506.62 : x
  2. Step 2: Convert to fraction form
    1,199.95/1,800.17 = 506.62/x
  3. Step 3: Cross multiply
    1,199.95x = 1,800.17 × 506.62
  4. Step 4: Simplify right side
    1,199.95x = 911,998.89
  5. Step 5: Solve for x
    x = 911,998.89/1,199.95
  6. Step 6: Final answer
    x = 760.03

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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.