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Finding the Fourth Proportional to 1,080.56, 1,489.74 and 903.62

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Solution

The fourth proportional to 1,080.56, 1,489.74 and 903.62 is: 1,245.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.56 : 1,489.74 = 903.62 : x
  2. Step 2: Convert to fraction form
    1,080.56/1,489.74 = 903.62/x
  3. Step 3: Cross multiply
    1,080.56x = 1,489.74 × 903.62
  4. Step 4: Simplify right side
    1,080.56x = 1,346,158.86
  5. Step 5: Solve for x
    x = 1,346,158.86/1,080.56
  6. Step 6: Final answer
    x = 1,245.80

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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.