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Finding the Fourth Proportional to 1,770.83, 2,656.64 and 675.20

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Solution

The fourth proportional to 1,770.83, 2,656.64 and 675.20 is: 1,012.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.83 : 2,656.64 = 675.20 : x
  2. Step 2: Convert to fraction form
    1,770.83/2,656.64 = 675.20/x
  3. Step 3: Cross multiply
    1,770.83x = 2,656.64 × 675.20
  4. Step 4: Simplify right side
    1,770.83x = 1,793,763.33
  5. Step 5: Solve for x
    x = 1,793,763.33/1,770.83
  6. Step 6: Final answer
    x = 1,012.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.