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Finding the Fourth Proportional to 1,770.82, 2,656.30 and 675.04

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Solution

The fourth proportional to 1,770.82, 2,656.30 and 675.04 is: 1,012.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.82 : 2,656.30 = 675.04 : x
  2. Step 2: Convert to fraction form
    1,770.82/2,656.30 = 675.04/x
  3. Step 3: Cross multiply
    1,770.82x = 2,656.30 × 675.04
  4. Step 4: Simplify right side
    1,770.82x = 1,793,108.75
  5. Step 5: Solve for x
    x = 1,793,108.75/1,770.82
  6. Step 6: Final answer
    x = 1,012.59

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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.