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Finding the Fourth Proportional to 1,202.51, 1,804.97 and 856.24

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Solution

The fourth proportional to 1,202.51, 1,804.97 and 856.24 is: 1,285.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.51 : 1,804.97 = 856.24 : x
  2. Step 2: Convert to fraction form
    1,202.51/1,804.97 = 856.24/x
  3. Step 3: Cross multiply
    1,202.51x = 1,804.97 × 856.24
  4. Step 4: Simplify right side
    1,202.51x = 1,545,474.21
  5. Step 5: Solve for x
    x = 1,545,474.21/1,202.51
  6. Step 6: Final answer
    x = 1,285.21

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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.