Home / 1,453.29-2,005.10-823.72

Finding the Fourth Proportional to 1,453.29, 2,005.10 and 823.72

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Solution

The fourth proportional to 1,453.29, 2,005.10 and 823.72 is: 1,136.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.29 : 2,005.10 = 823.72 : x
  2. Step 2: Convert to fraction form
    1,453.29/2,005.10 = 823.72/x
  3. Step 3: Cross multiply
    1,453.29x = 2,005.10 × 823.72
  4. Step 4: Simplify right side
    1,453.29x = 1,651,631.84
  5. Step 5: Solve for x
    x = 1,651,631.84/1,453.29
  6. Step 6: Final answer
    x = 1,136.48

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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.