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Finding the Fourth Proportional to 1,080.12, 1,490.71 and 608.11

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Solution

The fourth proportional to 1,080.12, 1,490.71 and 608.11 is: 839.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.12 : 1,490.71 = 608.11 : x
  2. Step 2: Convert to fraction form
    1,080.12/1,490.71 = 608.11/x
  3. Step 3: Cross multiply
    1,080.12x = 1,490.71 × 608.11
  4. Step 4: Simplify right side
    1,080.12x = 906,510.70
  5. Step 5: Solve for x
    x = 906,510.70/1,080.12
  6. Step 6: Final answer
    x = 839.27

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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.