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Finding the Fourth Proportional to 1,084.67, 1,627.10 and 304.68

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Solution

The fourth proportional to 1,084.67, 1,627.10 and 304.68 is: 457.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.67 : 1,627.10 = 304.68 : x
  2. Step 2: Convert to fraction form
    1,084.67/1,627.10 = 304.68/x
  3. Step 3: Cross multiply
    1,084.67x = 1,627.10 × 304.68
  4. Step 4: Simplify right side
    1,084.67x = 495,738.35
  5. Step 5: Solve for x
    x = 495,738.35/1,084.67
  6. Step 6: Final answer
    x = 457.04

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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.