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Finding the Fourth Proportional to 811.33, 1,119.61 and 457.19

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Solution

The fourth proportional to 811.33, 1,119.61 and 457.19 is: 630.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.33 : 1,119.61 = 457.19 : x
  2. Step 2: Convert to fraction form
    811.33/1,119.61 = 457.19/x
  3. Step 3: Cross multiply
    811.33x = 1,119.61 × 457.19
  4. Step 4: Simplify right side
    811.33x = 511,874.50
  5. Step 5: Solve for x
    x = 511,874.50/811.33
  6. Step 6: Final answer
    x = 630.91

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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.