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Finding the Fourth Proportional to 1,446.02, 1,995.12 and 856.34

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Solution

The fourth proportional to 1,446.02, 1,995.12 and 856.34 is: 1,181.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.02 : 1,995.12 = 856.34 : x
  2. Step 2: Convert to fraction form
    1,446.02/1,995.12 = 856.34/x
  3. Step 3: Cross multiply
    1,446.02x = 1,995.12 × 856.34
  4. Step 4: Simplify right side
    1,446.02x = 1,708,501.06
  5. Step 5: Solve for x
    x = 1,708,501.06/1,446.02
  6. Step 6: Final answer
    x = 1,181.52

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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.