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Finding the Fourth Proportional to 1,770.73, 2,656.10 and 600.51

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Solution

The fourth proportional to 1,770.73, 2,656.10 and 600.51 is: 900.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.73 : 2,656.10 = 600.51 : x
  2. Step 2: Convert to fraction form
    1,770.73/2,656.10 = 600.51/x
  3. Step 3: Cross multiply
    1,770.73x = 2,656.10 × 600.51
  4. Step 4: Simplify right side
    1,770.73x = 1,595,014.61
  5. Step 5: Solve for x
    x = 1,595,014.61/1,770.73
  6. Step 6: Final answer
    x = 900.77

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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.