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Finding the Fourth Proportional to 1,190.23, 1,785.04 and 800.01

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Solution

The fourth proportional to 1,190.23, 1,785.04 and 800.01 is: 1,199.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.23 : 1,785.04 = 800.01 : x
  2. Step 2: Convert to fraction form
    1,190.23/1,785.04 = 800.01/x
  3. Step 3: Cross multiply
    1,190.23x = 1,785.04 × 800.01
  4. Step 4: Simplify right side
    1,190.23x = 1,428,047.85
  5. Step 5: Solve for x
    x = 1,428,047.85/1,190.23
  6. Step 6: Final answer
    x = 1,199.81

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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.