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Finding the Fourth Proportional to 1,084.75, 1,627.07 and 304.81

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Solution

The fourth proportional to 1,084.75, 1,627.07 and 304.81 is: 457.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.75 : 1,627.07 = 304.81 : x
  2. Step 2: Convert to fraction form
    1,084.75/1,627.07 = 304.81/x
  3. Step 3: Cross multiply
    1,084.75x = 1,627.07 × 304.81
  4. Step 4: Simplify right side
    1,084.75x = 495,937.55
  5. Step 5: Solve for x
    x = 495,937.55/1,084.75
  6. Step 6: Final answer
    x = 457.19

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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.