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Finding the Fourth Proportional to 806.97, 1,210.49 and 259.16

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Solution

The fourth proportional to 806.97, 1,210.49 and 259.16 is: 388.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.97 : 1,210.49 = 259.16 : x
  2. Step 2: Convert to fraction form
    806.97/1,210.49 = 259.16/x
  3. Step 3: Cross multiply
    806.97x = 1,210.49 × 259.16
  4. Step 4: Simplify right side
    806.97x = 313,703.24
  5. Step 5: Solve for x
    x = 313,703.24/806.97
  6. Step 6: Final answer
    x = 388.74

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.