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Finding the Fourth Proportional to 1,216.35, 1,823.22 and 695.23

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Solution

The fourth proportional to 1,216.35, 1,823.22 and 695.23 is: 1,042.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.35 : 1,823.22 = 695.23 : x
  2. Step 2: Convert to fraction form
    1,216.35/1,823.22 = 695.23/x
  3. Step 3: Cross multiply
    1,216.35x = 1,823.22 × 695.23
  4. Step 4: Simplify right side
    1,216.35x = 1,267,557.24
  5. Step 5: Solve for x
    x = 1,267,557.24/1,216.35
  6. Step 6: Final answer
    x = 1,042.10

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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.