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Finding the Fourth Proportional to 1,219.50, 1,682.93 and 695.58

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Solution

The fourth proportional to 1,219.50, 1,682.93 and 695.58 is: 959.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.50 : 1,682.93 = 695.58 : x
  2. Step 2: Convert to fraction form
    1,219.50/1,682.93 = 695.58/x
  3. Step 3: Cross multiply
    1,219.50x = 1,682.93 × 695.58
  4. Step 4: Simplify right side
    1,219.50x = 1,170,608.97
  5. Step 5: Solve for x
    x = 1,170,608.97/1,219.50
  6. Step 6: Final answer
    x = 959.91

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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.