Home / 1,496.22-2,064.75-824.00

Finding the Fourth Proportional to 1,496.22, 2,064.75 and 824.00

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Solution

The fourth proportional to 1,496.22, 2,064.75 and 824.00 is: 1,137.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.22 : 2,064.75 = 824.00 : x
  2. Step 2: Convert to fraction form
    1,496.22/2,064.75 = 824.00/x
  3. Step 3: Cross multiply
    1,496.22x = 2,064.75 × 824.00
  4. Step 4: Simplify right side
    1,496.22x = 1,701,343.68
  5. Step 5: Solve for x
    x = 1,701,343.68/1,496.22
  6. Step 6: Final answer
    x = 1,137.09

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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.