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Finding the Fourth Proportional to 692.60, 953.72 and 495.77

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Solution

The fourth proportional to 692.60, 953.72 and 495.77 is: 682.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.60 : 953.72 = 495.77 : x
  2. Step 2: Convert to fraction form
    692.60/953.72 = 495.77/x
  3. Step 3: Cross multiply
    692.60x = 953.72 × 495.77
  4. Step 4: Simplify right side
    692.60x = 472,825.76
  5. Step 5: Solve for x
    x = 472,825.76/692.60
  6. Step 6: Final answer
    x = 682.68

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1.5x scale

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.