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Finding the Fourth Proportional to 1,084.57, 1,627.13 and 304.57

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Solution

The fourth proportional to 1,084.57, 1,627.13 and 304.57 is: 456.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.57 : 1,627.13 = 304.57 : x
  2. Step 2: Convert to fraction form
    1,084.57/1,627.13 = 304.57/x
  3. Step 3: Cross multiply
    1,084.57x = 1,627.13 × 304.57
  4. Step 4: Simplify right side
    1,084.57x = 495,574.98
  5. Step 5: Solve for x
    x = 495,574.98/1,084.57
  6. Step 6: Final answer
    x = 456.93

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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.