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Finding the Fourth Proportional to 1,346.34, 2,016.96 and 650.94

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Solution

The fourth proportional to 1,346.34, 2,016.96 and 650.94 is: 975.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.34 : 2,016.96 = 650.94 : x
  2. Step 2: Convert to fraction form
    1,346.34/2,016.96 = 650.94/x
  3. Step 3: Cross multiply
    1,346.34x = 2,016.96 × 650.94
  4. Step 4: Simplify right side
    1,346.34x = 1,312,919.94
  5. Step 5: Solve for x
    x = 1,312,919.94/1,346.34
  6. Step 6: Final answer
    x = 975.18

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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.