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Finding the Fourth Proportional to 692.82, 1,039.52 and 508.67

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Solution

The fourth proportional to 692.82, 1,039.52 and 508.67 is: 763.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.82 : 1,039.52 = 508.67 : x
  2. Step 2: Convert to fraction form
    692.82/1,039.52 = 508.67/x
  3. Step 3: Cross multiply
    692.82x = 1,039.52 × 508.67
  4. Step 4: Simplify right side
    692.82x = 528,764.90
  5. Step 5: Solve for x
    x = 528,764.90/692.82
  6. Step 6: Final answer
    x = 763.21

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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.