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Finding the Fourth Proportional to 1,298.87, 1,946.76 and 682.24

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Solution

The fourth proportional to 1,298.87, 1,946.76 and 682.24 is: 1,022.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.87 : 1,946.76 = 682.24 : x
  2. Step 2: Convert to fraction form
    1,298.87/1,946.76 = 682.24/x
  3. Step 3: Cross multiply
    1,298.87x = 1,946.76 × 682.24
  4. Step 4: Simplify right side
    1,298.87x = 1,328,157.54
  5. Step 5: Solve for x
    x = 1,328,157.54/1,298.87
  6. Step 6: Final answer
    x = 1,022.55

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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.