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Finding the Fourth Proportional to 1,164.70, 1,743.30 and 856.52

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Solution

The fourth proportional to 1,164.70, 1,743.30 and 856.52 is: 1,282.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.70 : 1,743.30 = 856.52 : x
  2. Step 2: Convert to fraction form
    1,164.70/1,743.30 = 856.52/x
  3. Step 3: Cross multiply
    1,164.70x = 1,743.30 × 856.52
  4. Step 4: Simplify right side
    1,164.70x = 1,493,171.32
  5. Step 5: Solve for x
    x = 1,493,171.32/1,164.70
  6. Step 6: Final answer
    x = 1,282.02

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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.