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Finding the Fourth Proportional to 1,089.75, 1,501.75 and 696.09

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Solution

The fourth proportional to 1,089.75, 1,501.75 and 696.09 is: 959.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.75 : 1,501.75 = 696.09 : x
  2. Step 2: Convert to fraction form
    1,089.75/1,501.75 = 696.09/x
  3. Step 3: Cross multiply
    1,089.75x = 1,501.75 × 696.09
  4. Step 4: Simplify right side
    1,089.75x = 1,045,353.16
  5. Step 5: Solve for x
    x = 1,045,353.16/1,089.75
  6. Step 6: Final answer
    x = 959.26

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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.