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Finding the Fourth Proportional to 692.20, 954.84 and 456.19

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Solution

The fourth proportional to 692.20, 954.84 and 456.19 is: 629.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.20 : 954.84 = 456.19 : x
  2. Step 2: Convert to fraction form
    692.20/954.84 = 456.19/x
  3. Step 3: Cross multiply
    692.20x = 954.84 × 456.19
  4. Step 4: Simplify right side
    692.20x = 435,585.22
  5. Step 5: Solve for x
    x = 435,585.22/692.20
  6. Step 6: Final answer
    x = 629.28

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Double scale
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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.