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Finding the Fourth Proportional to 1,090.84, 1,505.26 and 642.64

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Solution

The fourth proportional to 1,090.84, 1,505.26 and 642.64 is: 886.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.84 : 1,505.26 = 642.64 : x
  2. Step 2: Convert to fraction form
    1,090.84/1,505.26 = 642.64/x
  3. Step 3: Cross multiply
    1,090.84x = 1,505.26 × 642.64
  4. Step 4: Simplify right side
    1,090.84x = 967,340.29
  5. Step 5: Solve for x
    x = 967,340.29/1,090.84
  6. Step 6: Final answer
    x = 886.78

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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.