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Finding the Fourth Proportional to 1,080.06, 1,490.16 and 637.80

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Solution

The fourth proportional to 1,080.06, 1,490.16 and 637.80 is: 879.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.06 : 1,490.16 = 637.80 : x
  2. Step 2: Convert to fraction form
    1,080.06/1,490.16 = 637.80/x
  3. Step 3: Cross multiply
    1,080.06x = 1,490.16 × 637.80
  4. Step 4: Simplify right side
    1,080.06x = 950,424.05
  5. Step 5: Solve for x
    x = 950,424.05/1,080.06
  6. Step 6: Final answer
    x = 879.97

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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.