Home / 1,496.10-2,064.56-823.90

Finding the Fourth Proportional to 1,496.10, 2,064.56 and 823.90

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Solution

The fourth proportional to 1,496.10, 2,064.56 and 823.90 is: 1,136.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.10 : 2,064.56 = 823.90 : x
  2. Step 2: Convert to fraction form
    1,496.10/2,064.56 = 823.90/x
  3. Step 3: Cross multiply
    1,496.10x = 2,064.56 × 823.90
  4. Step 4: Simplify right side
    1,496.10x = 1,700,990.98
  5. Step 5: Solve for x
    x = 1,700,990.98/1,496.10
  6. Step 6: Final answer
    x = 1,136.95

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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.