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Finding the Fourth Proportional to 1,605.80, 2,407.67 and 669.39

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Solution

The fourth proportional to 1,605.80, 2,407.67 and 669.39 is: 1,003.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.80 : 2,407.67 = 669.39 : x
  2. Step 2: Convert to fraction form
    1,605.80/2,407.67 = 669.39/x
  3. Step 3: Cross multiply
    1,605.80x = 2,407.67 × 669.39
  4. Step 4: Simplify right side
    1,605.80x = 1,611,670.22
  5. Step 5: Solve for x
    x = 1,611,670.22/1,605.80
  6. Step 6: Final answer
    x = 1,003.66

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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.