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Finding the Fourth Proportional to 1,087.10, 1,627.75 and 741.11

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Solution

The fourth proportional to 1,087.10, 1,627.75 and 741.11 is: 1,109.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.10 : 1,627.75 = 741.11 : x
  2. Step 2: Convert to fraction form
    1,087.10/1,627.75 = 741.11/x
  3. Step 3: Cross multiply
    1,087.10x = 1,627.75 × 741.11
  4. Step 4: Simplify right side
    1,087.10x = 1,206,343.75
  5. Step 5: Solve for x
    x = 1,206,343.75/1,087.10
  6. Step 6: Final answer
    x = 1,109.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.