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Finding the Fourth Proportional to 1,288.64, 1,776.48 and 869.24

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Solution

The fourth proportional to 1,288.64, 1,776.48 and 869.24 is: 1,198.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.64 : 1,776.48 = 869.24 : x
  2. Step 2: Convert to fraction form
    1,288.64/1,776.48 = 869.24/x
  3. Step 3: Cross multiply
    1,288.64x = 1,776.48 × 869.24
  4. Step 4: Simplify right side
    1,288.64x = 1,544,187.48
  5. Step 5: Solve for x
    x = 1,544,187.48/1,288.64
  6. Step 6: Final answer
    x = 1,198.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.