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Finding the Fourth Proportional to 1,080.76, 1,490.86 and 940.63

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Solution

The fourth proportional to 1,080.76, 1,490.86 and 940.63 is: 1,297.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.76 : 1,490.86 = 940.63 : x
  2. Step 2: Convert to fraction form
    1,080.76/1,490.86 = 940.63/x
  3. Step 3: Cross multiply
    1,080.76x = 1,490.86 × 940.63
  4. Step 4: Simplify right side
    1,080.76x = 1,402,350.68
  5. Step 5: Solve for x
    x = 1,402,350.68/1,080.76
  6. Step 6: Final answer
    x = 1,297.56

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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.