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Finding the Fourth Proportional to 692.56, 1,039.56 and 446.08

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Solution

The fourth proportional to 692.56, 1,039.56 and 446.08 is: 669.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.56 : 1,039.56 = 446.08 : x
  2. Step 2: Convert to fraction form
    692.56/1,039.56 = 446.08/x
  3. Step 3: Cross multiply
    692.56x = 1,039.56 × 446.08
  4. Step 4: Simplify right side
    692.56x = 463,726.92
  5. Step 5: Solve for x
    x = 463,726.92/692.56
  6. Step 6: Final answer
    x = 669.58

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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.