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Finding the Fourth Proportional to 692.04, 1,037.91 and 444.52

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Solution

The fourth proportional to 692.04, 1,037.91 and 444.52 is: 666.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.04 : 1,037.91 = 444.52 : x
  2. Step 2: Convert to fraction form
    692.04/1,037.91 = 444.52/x
  3. Step 3: Cross multiply
    692.04x = 1,037.91 × 444.52
  4. Step 4: Simplify right side
    692.04x = 461,374.72
  5. Step 5: Solve for x
    x = 461,374.72/692.04
  6. Step 6: Final answer
    x = 666.68

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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.