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Finding the Fourth Proportional to 692.17, 1,038.14 and 281.29

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Solution

The fourth proportional to 692.17, 1,038.14 and 281.29 is: 421.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.17 : 1,038.14 = 281.29 : x
  2. Step 2: Convert to fraction form
    692.17/1,038.14 = 281.29/x
  3. Step 3: Cross multiply
    692.17x = 1,038.14 × 281.29
  4. Step 4: Simplify right side
    692.17x = 292,018.40
  5. Step 5: Solve for x
    x = 292,018.40/692.17
  6. Step 6: Final answer
    x = 421.89

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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.