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Finding the Fourth Proportional to 1,084.68, 1,626.73 and 304.64

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Solution

The fourth proportional to 1,084.68, 1,626.73 and 304.64 is: 456.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.68 : 1,626.73 = 304.64 : x
  2. Step 2: Convert to fraction form
    1,084.68/1,626.73 = 304.64/x
  3. Step 3: Cross multiply
    1,084.68x = 1,626.73 × 304.64
  4. Step 4: Simplify right side
    1,084.68x = 495,567.03
  5. Step 5: Solve for x
    x = 495,567.03/1,084.68
  6. Step 6: Final answer
    x = 456.88

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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.