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Finding the Fourth Proportional to 1,090.14, 1,504.62 and 853.62

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Solution

The fourth proportional to 1,090.14, 1,504.62 and 853.62 is: 1,178.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.14 : 1,504.62 = 853.62 : x
  2. Step 2: Convert to fraction form
    1,090.14/1,504.62 = 853.62/x
  3. Step 3: Cross multiply
    1,090.14x = 1,504.62 × 853.62
  4. Step 4: Simplify right side
    1,090.14x = 1,284,373.72
  5. Step 5: Solve for x
    x = 1,284,373.72/1,090.14
  6. Step 6: Final answer
    x = 1,178.17

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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.