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Finding the Fourth Proportional to 1,199.99, 1,800.24 and 506.67

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Solution

The fourth proportional to 1,199.99, 1,800.24 and 506.67 is: 760.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.99 : 1,800.24 = 506.67 : x
  2. Step 2: Convert to fraction form
    1,199.99/1,800.24 = 506.67/x
  3. Step 3: Cross multiply
    1,199.99x = 1,800.24 × 506.67
  4. Step 4: Simplify right side
    1,199.99x = 912,117.33
  5. Step 5: Solve for x
    x = 912,117.33/1,199.99
  6. Step 6: Final answer
    x = 760.10

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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.