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Finding the Fourth Proportional to 692.33, 953.21 and 587.18

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Solution

The fourth proportional to 692.33, 953.21 and 587.18 is: 808.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.33 : 953.21 = 587.18 : x
  2. Step 2: Convert to fraction form
    692.33/953.21 = 587.18/x
  3. Step 3: Cross multiply
    692.33x = 953.21 × 587.18
  4. Step 4: Simplify right side
    692.33x = 559,698.15
  5. Step 5: Solve for x
    x = 559,698.15/692.33
  6. Step 6: Final answer
    x = 808.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.