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Finding the Fourth Proportional to 740.74, 1,022.24 and 409.19

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Solution

The fourth proportional to 740.74, 1,022.24 and 409.19 is: 564.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.74 : 1,022.24 = 409.19 : x
  2. Step 2: Convert to fraction form
    740.74/1,022.24 = 409.19/x
  3. Step 3: Cross multiply
    740.74x = 1,022.24 × 409.19
  4. Step 4: Simplify right side
    740.74x = 418,290.39
  5. Step 5: Solve for x
    x = 418,290.39/740.74
  6. Step 6: Final answer
    x = 564.69

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Half scale
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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.