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Finding the Fourth Proportional to 1,972.76, 2,959.21 and 656.63

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Solution

The fourth proportional to 1,972.76, 2,959.21 and 656.63 is: 984.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.76 : 2,959.21 = 656.63 : x
  2. Step 2: Convert to fraction form
    1,972.76/2,959.21 = 656.63/x
  3. Step 3: Cross multiply
    1,972.76x = 2,959.21 × 656.63
  4. Step 4: Simplify right side
    1,972.76x = 1,943,106.06
  5. Step 5: Solve for x
    x = 1,943,106.06/1,972.76
  6. Step 6: Final answer
    x = 984.97

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1.5x scale

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.