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Finding the Fourth Proportional to 1,180.22, 1,769.93 and 400.02

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Solution

The fourth proportional to 1,180.22, 1,769.93 and 400.02 is: 599.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.22 : 1,769.93 = 400.02 : x
  2. Step 2: Convert to fraction form
    1,180.22/1,769.93 = 400.02/x
  3. Step 3: Cross multiply
    1,180.22x = 1,769.93 × 400.02
  4. Step 4: Simplify right side
    1,180.22x = 708,002.51
  5. Step 5: Solve for x
    x = 708,002.51/1,180.22
  6. Step 6: Final answer
    x = 599.89

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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.