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Finding the Fourth Proportional to 1,378.73, 2,065.34 and 646.08

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Solution

The fourth proportional to 1,378.73, 2,065.34 and 646.08 is: 967.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.73 : 2,065.34 = 646.08 : x
  2. Step 2: Convert to fraction form
    1,378.73/2,065.34 = 646.08/x
  3. Step 3: Cross multiply
    1,378.73x = 2,065.34 × 646.08
  4. Step 4: Simplify right side
    1,378.73x = 1,334,371.64
  5. Step 5: Solve for x
    x = 1,334,371.64/1,378.73
  6. Step 6: Final answer
    x = 967.83

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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.