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Finding the Fourth Proportional to 1,183.96, 1,782.81 and 877.98

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Solution

The fourth proportional to 1,183.96, 1,782.81 and 877.98 is: 1,322.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.96 : 1,782.81 = 877.98 : x
  2. Step 2: Convert to fraction form
    1,183.96/1,782.81 = 877.98/x
  3. Step 3: Cross multiply
    1,183.96x = 1,782.81 × 877.98
  4. Step 4: Simplify right side
    1,183.96x = 1,565,271.52
  5. Step 5: Solve for x
    x = 1,565,271.52/1,183.96
  6. Step 6: Final answer
    x = 1,322.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.