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Finding the Fourth Proportional to 1,770.61, 2,655.54 and 674.59

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Solution

The fourth proportional to 1,770.61, 2,655.54 and 674.59 is: 1,011.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.61 : 2,655.54 = 674.59 : x
  2. Step 2: Convert to fraction form
    1,770.61/2,655.54 = 674.59/x
  3. Step 3: Cross multiply
    1,770.61x = 2,655.54 × 674.59
  4. Step 4: Simplify right side
    1,770.61x = 1,791,400.73
  5. Step 5: Solve for x
    x = 1,791,400.73/1,770.61
  6. Step 6: Final answer
    x = 1,011.74

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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.