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Finding the Fourth Proportional to 692.34, 954.30 and 505.80

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Solution

The fourth proportional to 692.34, 954.30 and 505.80 is: 697.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.34 : 954.30 = 505.80 : x
  2. Step 2: Convert to fraction form
    692.34/954.30 = 505.80/x
  3. Step 3: Cross multiply
    692.34x = 954.30 × 505.80
  4. Step 4: Simplify right side
    692.34x = 482,684.94
  5. Step 5: Solve for x
    x = 482,684.94/692.34
  6. Step 6: Final answer
    x = 697.18

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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.