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Finding the Fourth Proportional to 809.24, 1,116.07 and 498.20

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Solution

The fourth proportional to 809.24, 1,116.07 and 498.20 is: 687.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.24 : 1,116.07 = 498.20 : x
  2. Step 2: Convert to fraction form
    809.24/1,116.07 = 498.20/x
  3. Step 3: Cross multiply
    809.24x = 1,116.07 × 498.20
  4. Step 4: Simplify right side
    809.24x = 556,019.25
  5. Step 5: Solve for x
    x = 556,019.25/809.24
  6. Step 6: Final answer
    x = 687.09

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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.