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Finding the Fourth Proportional to 1,199.86, 1,800.24 and 469.94

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Solution

The fourth proportional to 1,199.86, 1,800.24 and 469.94 is: 705.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.86 : 1,800.24 = 469.94 : x
  2. Step 2: Convert to fraction form
    1,199.86/1,800.24 = 469.94/x
  3. Step 3: Cross multiply
    1,199.86x = 1,800.24 × 469.94
  4. Step 4: Simplify right side
    1,199.86x = 846,004.79
  5. Step 5: Solve for x
    x = 846,004.79/1,199.86
  6. Step 6: Final answer
    x = 705.09

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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.