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Finding the Fourth Proportional to 1,183.79, 1,776.78 and 599.20

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Solution

The fourth proportional to 1,183.79, 1,776.78 and 599.20 is: 899.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.79 : 1,776.78 = 599.20 : x
  2. Step 2: Convert to fraction form
    1,183.79/1,776.78 = 599.20/x
  3. Step 3: Cross multiply
    1,183.79x = 1,776.78 × 599.20
  4. Step 4: Simplify right side
    1,183.79x = 1,064,646.58
  5. Step 5: Solve for x
    x = 1,064,646.58/1,183.79
  6. Step 6: Final answer
    x = 899.35

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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.