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Finding the Fourth Proportional to 1,090.68, 1,505.16 and 854.91

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Solution

The fourth proportional to 1,090.68, 1,505.16 and 854.91 is: 1,179.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.68 : 1,505.16 = 854.91 : x
  2. Step 2: Convert to fraction form
    1,090.68/1,505.16 = 854.91/x
  3. Step 3: Cross multiply
    1,090.68x = 1,505.16 × 854.91
  4. Step 4: Simplify right side
    1,090.68x = 1,286,776.34
  5. Step 5: Solve for x
    x = 1,286,776.34/1,090.68
  6. Step 6: Final answer
    x = 1,179.79

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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.