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Finding the Fourth Proportional to 692.06, 952.86 and 586.93

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Solution

The fourth proportional to 692.06, 952.86 and 586.93 is: 808.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.06 : 952.86 = 586.93 : x
  2. Step 2: Convert to fraction form
    692.06/952.86 = 586.93/x
  3. Step 3: Cross multiply
    692.06x = 952.86 × 586.93
  4. Step 4: Simplify right side
    692.06x = 559,262.12
  5. Step 5: Solve for x
    x = 559,262.12/692.06
  6. Step 6: Final answer
    x = 808.11

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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.