Home / 1,178.64-1,626.66-824.22

Finding the Fourth Proportional to 1,178.64, 1,626.66 and 824.22

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Solution

The fourth proportional to 1,178.64, 1,626.66 and 824.22 is: 1,137.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.64 : 1,626.66 = 824.22 : x
  2. Step 2: Convert to fraction form
    1,178.64/1,626.66 = 824.22/x
  3. Step 3: Cross multiply
    1,178.64x = 1,626.66 × 824.22
  4. Step 4: Simplify right side
    1,178.64x = 1,340,725.71
  5. Step 5: Solve for x
    x = 1,340,725.71/1,178.64
  6. Step 6: Final answer
    x = 1,137.52

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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.