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Finding the Fourth Proportional to 1,770.79, 2,654.08 and 674.10

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Solution

The fourth proportional to 1,770.79, 2,654.08 and 674.10 is: 1,010.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.79 : 2,654.08 = 674.10 : x
  2. Step 2: Convert to fraction form
    1,770.79/2,654.08 = 674.10/x
  3. Step 3: Cross multiply
    1,770.79x = 2,654.08 × 674.10
  4. Step 4: Simplify right side
    1,770.79x = 1,789,115.33
  5. Step 5: Solve for x
    x = 1,789,115.33/1,770.79
  6. Step 6: Final answer
    x = 1,010.35

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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.