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Finding the Fourth Proportional to 1,700.25, 2,550.38 and 674.25

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Solution

The fourth proportional to 1,700.25, 2,550.38 and 674.25 is: 1,011.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.25 : 2,550.38 = 674.25 : x
  2. Step 2: Convert to fraction form
    1,700.25/2,550.38 = 674.25/x
  3. Step 3: Cross multiply
    1,700.25x = 2,550.38 × 674.25
  4. Step 4: Simplify right side
    1,700.25x = 1,719,590.34
  5. Step 5: Solve for x
    x = 1,719,590.34/1,700.25
  6. Step 6: Final answer
    x = 1,011.38

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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.