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Finding the Fourth Proportional to 719.41, 1,077.91 and 692.41

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Solution

The fourth proportional to 719.41, 1,077.91 and 692.41 is: 1,037.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.41 : 1,077.91 = 692.41 : x
  2. Step 2: Convert to fraction form
    719.41/1,077.91 = 692.41/x
  3. Step 3: Cross multiply
    719.41x = 1,077.91 × 692.41
  4. Step 4: Simplify right side
    719.41x = 746,355.66
  5. Step 5: Solve for x
    x = 746,355.66/719.41
  6. Step 6: Final answer
    x = 1,037.46

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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.