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Finding the Fourth Proportional to 1,093.38, 1,509.01 and 701.23

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Solution

The fourth proportional to 1,093.38, 1,509.01 and 701.23 is: 967.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.38 : 1,509.01 = 701.23 : x
  2. Step 2: Convert to fraction form
    1,093.38/1,509.01 = 701.23/x
  3. Step 3: Cross multiply
    1,093.38x = 1,509.01 × 701.23
  4. Step 4: Simplify right side
    1,093.38x = 1,058,163.08
  5. Step 5: Solve for x
    x = 1,058,163.08/1,093.38
  6. Step 6: Final answer
    x = 967.79

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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.