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Finding the Fourth Proportional to 1,485.49, 2,050.13 and 856.04

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Solution

The fourth proportional to 1,485.49, 2,050.13 and 856.04 is: 1,181.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.49 : 2,050.13 = 856.04 : x
  2. Step 2: Convert to fraction form
    1,485.49/2,050.13 = 856.04/x
  3. Step 3: Cross multiply
    1,485.49x = 2,050.13 × 856.04
  4. Step 4: Simplify right side
    1,485.49x = 1,754,993.29
  5. Step 5: Solve for x
    x = 1,754,993.29/1,485.49
  6. Step 6: Final answer
    x = 1,181.42

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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.