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Finding the Fourth Proportional to 1,297.95, 1,945.83 and 566.97

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Solution

The fourth proportional to 1,297.95, 1,945.83 and 566.97 is: 849.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.95 : 1,945.83 = 566.97 : x
  2. Step 2: Convert to fraction form
    1,297.95/1,945.83 = 566.97/x
  3. Step 3: Cross multiply
    1,297.95x = 1,945.83 × 566.97
  4. Step 4: Simplify right side
    1,297.95x = 1,103,227.24
  5. Step 5: Solve for x
    x = 1,103,227.24/1,297.95
  6. Step 6: Final answer
    x = 849.98

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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.