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Finding the Fourth Proportional to 692.24, 1,036.66 and 448.04

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Solution

The fourth proportional to 692.24, 1,036.66 and 448.04 is: 670.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.24 : 1,036.66 = 448.04 : x
  2. Step 2: Convert to fraction form
    692.24/1,036.66 = 448.04/x
  3. Step 3: Cross multiply
    692.24x = 1,036.66 × 448.04
  4. Step 4: Simplify right side
    692.24x = 464,465.15
  5. Step 5: Solve for x
    x = 464,465.15/692.24
  6. Step 6: Final answer
    x = 670.96

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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.