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Finding the Fourth Proportional to 1,219.36, 1,682.24 and 695.12

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Solution

The fourth proportional to 1,219.36, 1,682.24 and 695.12 is: 958.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.36 : 1,682.24 = 695.12 : x
  2. Step 2: Convert to fraction form
    1,219.36/1,682.24 = 695.12/x
  3. Step 3: Cross multiply
    1,219.36x = 1,682.24 × 695.12
  4. Step 4: Simplify right side
    1,219.36x = 1,169,358.67
  5. Step 5: Solve for x
    x = 1,169,358.67/1,219.36
  6. Step 6: Final answer
    x = 958.99

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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.