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Finding the Fourth Proportional to 1,190.80, 1,643.20 and 842.16

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Solution

The fourth proportional to 1,190.80, 1,643.20 and 842.16 is: 1,162.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.80 : 1,643.20 = 842.16 : x
  2. Step 2: Convert to fraction form
    1,190.80/1,643.20 = 842.16/x
  3. Step 3: Cross multiply
    1,190.80x = 1,643.20 × 842.16
  4. Step 4: Simplify right side
    1,190.80x = 1,383,837.31
  5. Step 5: Solve for x
    x = 1,383,837.31/1,190.80
  6. Step 6: Final answer
    x = 1,162.11

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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.