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Finding the Fourth Proportional to 1,094.07, 1,640.50 and 363.25

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Solution

The fourth proportional to 1,094.07, 1,640.50 and 363.25 is: 544.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.07 : 1,640.50 = 363.25 : x
  2. Step 2: Convert to fraction form
    1,094.07/1,640.50 = 363.25/x
  3. Step 3: Cross multiply
    1,094.07x = 1,640.50 × 363.25
  4. Step 4: Simplify right side
    1,094.07x = 595,909.81
  5. Step 5: Solve for x
    x = 595,909.81/1,094.07
  6. Step 6: Final answer
    x = 544.67

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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.