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Finding the Fourth Proportional to 1,474.98, 2,212.97 and 695.58

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Solution

The fourth proportional to 1,474.98, 2,212.97 and 695.58 is: 1,043.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.98 : 2,212.97 = 695.58 : x
  2. Step 2: Convert to fraction form
    1,474.98/2,212.97 = 695.58/x
  3. Step 3: Cross multiply
    1,474.98x = 2,212.97 × 695.58
  4. Step 4: Simplify right side
    1,474.98x = 1,539,289.81
  5. Step 5: Solve for x
    x = 1,539,289.81/1,474.98
  6. Step 6: Final answer
    x = 1,043.60

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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.