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Finding the Fourth Proportional to 1,963.52, 2,945.70 and 665.84

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Solution

The fourth proportional to 1,963.52, 2,945.70 and 665.84 is: 998.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.52 : 2,945.70 = 665.84 : x
  2. Step 2: Convert to fraction form
    1,963.52/2,945.70 = 665.84/x
  3. Step 3: Cross multiply
    1,963.52x = 2,945.70 × 665.84
  4. Step 4: Simplify right side
    1,963.52x = 1,961,364.89
  5. Step 5: Solve for x
    x = 1,961,364.89/1,963.52
  6. Step 6: Final answer
    x = 998.90

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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.