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Finding the Fourth Proportional to 1,080.09, 1,489.86 and 784.44

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Solution

The fourth proportional to 1,080.09, 1,489.86 and 784.44 is: 1,082.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.09 : 1,489.86 = 784.44 : x
  2. Step 2: Convert to fraction form
    1,080.09/1,489.86 = 784.44/x
  3. Step 3: Cross multiply
    1,080.09x = 1,489.86 × 784.44
  4. Step 4: Simplify right side
    1,080.09x = 1,168,705.78
  5. Step 5: Solve for x
    x = 1,168,705.78/1,080.09
  6. Step 6: Final answer
    x = 1,082.04

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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.