Home / 1,177.22-1,624.10-823.04

Finding the Fourth Proportional to 1,177.22, 1,624.10 and 823.04

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Solution

The fourth proportional to 1,177.22, 1,624.10 and 823.04 is: 1,135.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.22 : 1,624.10 = 823.04 : x
  2. Step 2: Convert to fraction form
    1,177.22/1,624.10 = 823.04/x
  3. Step 3: Cross multiply
    1,177.22x = 1,624.10 × 823.04
  4. Step 4: Simplify right side
    1,177.22x = 1,336,699.21
  5. Step 5: Solve for x
    x = 1,336,699.21/1,177.22
  6. Step 6: Final answer
    x = 1,135.48

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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.