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Finding the Fourth Proportional to 1,215.23, 1,676.89 and 684.14

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Solution

The fourth proportional to 1,215.23, 1,676.89 and 684.14 is: 944.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.23 : 1,676.89 = 684.14 : x
  2. Step 2: Convert to fraction form
    1,215.23/1,676.89 = 684.14/x
  3. Step 3: Cross multiply
    1,215.23x = 1,676.89 × 684.14
  4. Step 4: Simplify right side
    1,215.23x = 1,147,230.01
  5. Step 5: Solve for x
    x = 1,147,230.01/1,215.23
  6. Step 6: Final answer
    x = 944.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.