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Finding the Fourth Proportional to 1,449.64, 1,999.59 and 859.75

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Solution

The fourth proportional to 1,449.64, 1,999.59 and 859.75 is: 1,185.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.64 : 1,999.59 = 859.75 : x
  2. Step 2: Convert to fraction form
    1,449.64/1,999.59 = 859.75/x
  3. Step 3: Cross multiply
    1,449.64x = 1,999.59 × 859.75
  4. Step 4: Simplify right side
    1,449.64x = 1,719,147.50
  5. Step 5: Solve for x
    x = 1,719,147.50/1,449.64
  6. Step 6: Final answer
    x = 1,185.91

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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.