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Finding the Fourth Proportional to 692.96, 955.63 and 468.92

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Solution

The fourth proportional to 692.96, 955.63 and 468.92 is: 646.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.96 : 955.63 = 468.92 : x
  2. Step 2: Convert to fraction form
    692.96/955.63 = 468.92/x
  3. Step 3: Cross multiply
    692.96x = 955.63 × 468.92
  4. Step 4: Simplify right side
    692.96x = 448,116.99
  5. Step 5: Solve for x
    x = 448,116.99/692.96
  6. Step 6: Final answer
    x = 646.68

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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.