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Finding the Fourth Proportional to 1,161.96, 1,743.45 and 856.35

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Solution

The fourth proportional to 1,161.96, 1,743.45 and 856.35 is: 1,284.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.96 : 1,743.45 = 856.35 : x
  2. Step 2: Convert to fraction form
    1,161.96/1,743.45 = 856.35/x
  3. Step 3: Cross multiply
    1,161.96x = 1,743.45 × 856.35
  4. Step 4: Simplify right side
    1,161.96x = 1,492,997.70
  5. Step 5: Solve for x
    x = 1,492,997.70/1,161.96
  6. Step 6: Final answer
    x = 1,284.90

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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.