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Finding the Fourth Proportional to 1,319.82, 1,975.68 and 856.59

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Solution

The fourth proportional to 1,319.82, 1,975.68 and 856.59 is: 1,282.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.82 : 1,975.68 = 856.59 : x
  2. Step 2: Convert to fraction form
    1,319.82/1,975.68 = 856.59/x
  3. Step 3: Cross multiply
    1,319.82x = 1,975.68 × 856.59
  4. Step 4: Simplify right side
    1,319.82x = 1,692,347.73
  5. Step 5: Solve for x
    x = 1,692,347.73/1,319.82
  6. Step 6: Final answer
    x = 1,282.26

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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.