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Finding the Fourth Proportional to 1,665.75, 2,497.26 and 692.55

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Solution

The fourth proportional to 1,665.75, 2,497.26 and 692.55 is: 1,038.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.75 : 2,497.26 = 692.55 : x
  2. Step 2: Convert to fraction form
    1,665.75/2,497.26 = 692.55/x
  3. Step 3: Cross multiply
    1,665.75x = 2,497.26 × 692.55
  4. Step 4: Simplify right side
    1,665.75x = 1,729,477.41
  5. Step 5: Solve for x
    x = 1,729,477.41/1,665.75
  6. Step 6: Final answer
    x = 1,038.26

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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.