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Finding the Fourth Proportional to 1,173.82, 1,627.30 and 1,111.40

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Solution

The fourth proportional to 1,173.82, 1,627.30 and 1,111.40 is: 1,540.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.82 : 1,627.30 = 1,111.40 : x
  2. Step 2: Convert to fraction form
    1,173.82/1,627.30 = 1,111.40/x
  3. Step 3: Cross multiply
    1,173.82x = 1,627.30 × 1,111.40
  4. Step 4: Simplify right side
    1,173.82x = 1,808,581.22
  5. Step 5: Solve for x
    x = 1,808,581.22/1,173.82
  6. Step 6: Final answer
    x = 1,540.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.