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Finding the Fourth Proportional to 1,605.42, 2,408.71 and 630.98

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Solution

The fourth proportional to 1,605.42, 2,408.71 and 630.98 is: 946.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.42 : 2,408.71 = 630.98 : x
  2. Step 2: Convert to fraction form
    1,605.42/2,408.71 = 630.98/x
  3. Step 3: Cross multiply
    1,605.42x = 2,408.71 × 630.98
  4. Step 4: Simplify right side
    1,605.42x = 1,519,847.84
  5. Step 5: Solve for x
    x = 1,519,847.84/1,605.42
  6. Step 6: Final answer
    x = 946.70

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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.