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Finding the Fourth Proportional to 1,289.03, 1,934.57 and 467.54

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Solution

The fourth proportional to 1,289.03, 1,934.57 and 467.54 is: 701.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.03 : 1,934.57 = 467.54 : x
  2. Step 2: Convert to fraction form
    1,289.03/1,934.57 = 467.54/x
  3. Step 3: Cross multiply
    1,289.03x = 1,934.57 × 467.54
  4. Step 4: Simplify right side
    1,289.03x = 904,480.35
  5. Step 5: Solve for x
    x = 904,480.35/1,289.03
  6. Step 6: Final answer
    x = 701.67

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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.