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Finding the Fourth Proportional to 1,084.80, 1,627.46 and 315.30

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Solution

The fourth proportional to 1,084.80, 1,627.46 and 315.30 is: 473.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.80 : 1,627.46 = 315.30 : x
  2. Step 2: Convert to fraction form
    1,084.80/1,627.46 = 315.30/x
  3. Step 3: Cross multiply
    1,084.80x = 1,627.46 × 315.30
  4. Step 4: Simplify right side
    1,084.80x = 513,138.14
  5. Step 5: Solve for x
    x = 513,138.14/1,084.80
  6. Step 6: Final answer
    x = 473.03

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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.