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Finding the Fourth Proportional to 1,107.15, 1,529.33 and 848.36

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Solution

The fourth proportional to 1,107.15, 1,529.33 and 848.36 is: 1,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.15 : 1,529.33 = 848.36 : x
  2. Step 2: Convert to fraction form
    1,107.15/1,529.33 = 848.36/x
  3. Step 3: Cross multiply
    1,107.15x = 1,529.33 × 848.36
  4. Step 4: Simplify right side
    1,107.15x = 1,297,410.51
  5. Step 5: Solve for x
    x = 1,297,410.51/1,107.15
  6. Step 6: Final answer
    x = 1,171.85

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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.