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Finding the Fourth Proportional to 811.35, 1,119.13 and 496.40

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Solution

The fourth proportional to 811.35, 1,119.13 and 496.40 is: 684.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.35 : 1,119.13 = 496.40 : x
  2. Step 2: Convert to fraction form
    811.35/1,119.13 = 496.40/x
  3. Step 3: Cross multiply
    811.35x = 1,119.13 × 496.40
  4. Step 4: Simplify right side
    811.35x = 555,539.44
  5. Step 5: Solve for x
    x = 555,539.44/811.35
  6. Step 6: Final answer
    x = 684.71

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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.