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Finding the Fourth Proportional to 1,191.54, 1,643.84 and 859.24

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Solution

The fourth proportional to 1,191.54, 1,643.84 and 859.24 is: 1,185.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.54 : 1,643.84 = 859.24 : x
  2. Step 2: Convert to fraction form
    1,191.54/1,643.84 = 859.24/x
  3. Step 3: Cross multiply
    1,191.54x = 1,643.84 × 859.24
  4. Step 4: Simplify right side
    1,191.54x = 1,412,458.90
  5. Step 5: Solve for x
    x = 1,412,458.90/1,191.54
  6. Step 6: Final answer
    x = 1,185.40

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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.