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Finding the Fourth Proportional to 1,080.23, 1,490.58 and 638.06

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Solution

The fourth proportional to 1,080.23, 1,490.58 and 638.06 is: 880.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.23 : 1,490.58 = 638.06 : x
  2. Step 2: Convert to fraction form
    1,080.23/1,490.58 = 638.06/x
  3. Step 3: Cross multiply
    1,080.23x = 1,490.58 × 638.06
  4. Step 4: Simplify right side
    1,080.23x = 951,072.02
  5. Step 5: Solve for x
    x = 951,072.02/1,080.23
  6. Step 6: Final answer
    x = 880.44

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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.