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Finding the Fourth Proportional to 914.82, 1,372.08 and 684.06

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Solution

The fourth proportional to 914.82, 1,372.08 and 684.06 is: 1,025.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.82 : 1,372.08 = 684.06 : x
  2. Step 2: Convert to fraction form
    914.82/1,372.08 = 684.06/x
  3. Step 3: Cross multiply
    914.82x = 1,372.08 × 684.06
  4. Step 4: Simplify right side
    914.82x = 938,585.04
  5. Step 5: Solve for x
    x = 938,585.04/914.82
  6. Step 6: Final answer
    x = 1,025.98

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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.