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Finding the Fourth Proportional to 1,288.88, 1,779.26 and 823.13

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Solution

The fourth proportional to 1,288.88, 1,779.26 and 823.13 is: 1,136.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.88 : 1,779.26 = 823.13 : x
  2. Step 2: Convert to fraction form
    1,288.88/1,779.26 = 823.13/x
  3. Step 3: Cross multiply
    1,288.88x = 1,779.26 × 823.13
  4. Step 4: Simplify right side
    1,288.88x = 1,464,562.28
  5. Step 5: Solve for x
    x = 1,464,562.28/1,288.88
  6. Step 6: Final answer
    x = 1,136.31

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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.