Home / 1,217.10-1,823.94-523.25

Finding the Fourth Proportional to 1,217.10, 1,823.94 and 523.25

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Solution

The fourth proportional to 1,217.10, 1,823.94 and 523.25 is: 784.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.10 : 1,823.94 = 523.25 : x
  2. Step 2: Convert to fraction form
    1,217.10/1,823.94 = 523.25/x
  3. Step 3: Cross multiply
    1,217.10x = 1,823.94 × 523.25
  4. Step 4: Simplify right side
    1,217.10x = 954,373.23
  5. Step 5: Solve for x
    x = 954,373.23/1,217.10
  6. Step 6: Final answer
    x = 784.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.