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Finding the Fourth Proportional to 1,219.60, 1,682.94 and 695.50

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Solution

The fourth proportional to 1,219.60, 1,682.94 and 695.50 is: 959.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.60 : 1,682.94 = 695.50 : x
  2. Step 2: Convert to fraction form
    1,219.60/1,682.94 = 695.50/x
  3. Step 3: Cross multiply
    1,219.60x = 1,682.94 × 695.50
  4. Step 4: Simplify right side
    1,219.60x = 1,170,484.77
  5. Step 5: Solve for x
    x = 1,170,484.77/1,219.60
  6. Step 6: Final answer
    x = 959.73

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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.