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Finding the Fourth Proportional to 1,160.16, 1,600.86 and 806.19

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Solution

The fourth proportional to 1,160.16, 1,600.86 and 806.19 is: 1,112.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.16 : 1,600.86 = 806.19 : x
  2. Step 2: Convert to fraction form
    1,160.16/1,600.86 = 806.19/x
  3. Step 3: Cross multiply
    1,160.16x = 1,600.86 × 806.19
  4. Step 4: Simplify right side
    1,160.16x = 1,290,597.32
  5. Step 5: Solve for x
    x = 1,290,597.32/1,160.16
  6. Step 6: Final answer
    x = 1,112.43

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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.