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Finding the Fourth Proportional to 1,770.19, 2,655.77 and 537.64

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Solution

The fourth proportional to 1,770.19, 2,655.77 and 537.64 is: 806.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.19 : 2,655.77 = 537.64 : x
  2. Step 2: Convert to fraction form
    1,770.19/2,655.77 = 537.64/x
  3. Step 3: Cross multiply
    1,770.19x = 2,655.77 × 537.64
  4. Step 4: Simplify right side
    1,770.19x = 1,427,848.18
  5. Step 5: Solve for x
    x = 1,427,848.18/1,770.19
  6. Step 6: Final answer
    x = 806.61

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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.