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Finding the Fourth Proportional to 1,090.97, 1,505.57 and 625.13

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Solution

The fourth proportional to 1,090.97, 1,505.57 and 625.13 is: 862.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.97 : 1,505.57 = 625.13 : x
  2. Step 2: Convert to fraction form
    1,090.97/1,505.57 = 625.13/x
  3. Step 3: Cross multiply
    1,090.97x = 1,505.57 × 625.13
  4. Step 4: Simplify right side
    1,090.97x = 941,171.01
  5. Step 5: Solve for x
    x = 941,171.01/1,090.97
  6. Step 6: Final answer
    x = 862.70

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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.