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Finding the Fourth Proportional to 773.14, 1,066.40 and 474.24

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Solution

The fourth proportional to 773.14, 1,066.40 and 474.24 is: 654.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.14 : 1,066.40 = 474.24 : x
  2. Step 2: Convert to fraction form
    773.14/1,066.40 = 474.24/x
  3. Step 3: Cross multiply
    773.14x = 1,066.40 × 474.24
  4. Step 4: Simplify right side
    773.14x = 505,729.54
  5. Step 5: Solve for x
    x = 505,729.54/773.14
  6. Step 6: Final answer
    x = 654.12

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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.