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Finding the Fourth Proportional to 1,090.80, 1,505.34 and 625.14

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Solution

The fourth proportional to 1,090.80, 1,505.34 and 625.14 is: 862.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.80 : 1,505.34 = 625.14 : x
  2. Step 2: Convert to fraction form
    1,090.80/1,505.34 = 625.14/x
  3. Step 3: Cross multiply
    1,090.80x = 1,505.34 × 625.14
  4. Step 4: Simplify right side
    1,090.80x = 941,049.81
  5. Step 5: Solve for x
    x = 941,049.81/1,090.80
  6. Step 6: Final answer
    x = 862.72

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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.