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Finding the Fourth Proportional to 1,205.99, 1,663.86 and 674.79

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Solution

The fourth proportional to 1,205.99, 1,663.86 and 674.79 is: 930.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.99 : 1,663.86 = 674.79 : x
  2. Step 2: Convert to fraction form
    1,205.99/1,663.86 = 674.79/x
  3. Step 3: Cross multiply
    1,205.99x = 1,663.86 × 674.79
  4. Step 4: Simplify right side
    1,205.99x = 1,122,752.38
  5. Step 5: Solve for x
    x = 1,122,752.38/1,205.99
  6. Step 6: Final answer
    x = 930.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.