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Finding the Fourth Proportional to 825.13, 1,237.69 and 312.13

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Solution

The fourth proportional to 825.13, 1,237.69 and 312.13 is: 468.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.13 : 1,237.69 = 312.13 : x
  2. Step 2: Convert to fraction form
    825.13/1,237.69 = 312.13/x
  3. Step 3: Cross multiply
    825.13x = 1,237.69 × 312.13
  4. Step 4: Simplify right side
    825.13x = 386,313.99
  5. Step 5: Solve for x
    x = 386,313.99/825.13
  6. Step 6: Final answer
    x = 468.19

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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.