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Finding the Fourth Proportional to 692.66, 956.18 and 597.75

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Solution

The fourth proportional to 692.66, 956.18 and 597.75 is: 825.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.66 : 956.18 = 597.75 : x
  2. Step 2: Convert to fraction form
    692.66/956.18 = 597.75/x
  3. Step 3: Cross multiply
    692.66x = 956.18 × 597.75
  4. Step 4: Simplify right side
    692.66x = 571,558.09
  5. Step 5: Solve for x
    x = 571,558.09/692.66
  6. Step 6: Final answer
    x = 825.17

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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.