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Finding the Fourth Proportional to 1,605.77, 2,408.62 and 740.08

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Solution

The fourth proportional to 1,605.77, 2,408.62 and 740.08 is: 1,110.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.77 : 2,408.62 = 740.08 : x
  2. Step 2: Convert to fraction form
    1,605.77/2,408.62 = 740.08/x
  3. Step 3: Cross multiply
    1,605.77x = 2,408.62 × 740.08
  4. Step 4: Simplify right side
    1,605.77x = 1,782,576.59
  5. Step 5: Solve for x
    x = 1,782,576.59/1,605.77
  6. Step 6: Final answer
    x = 1,110.11

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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.