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Finding the Fourth Proportional to 912.95, 1,369.52 and 450.33

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Solution

The fourth proportional to 912.95, 1,369.52 and 450.33 is: 675.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.95 : 1,369.52 = 450.33 : x
  2. Step 2: Convert to fraction form
    912.95/1,369.52 = 450.33/x
  3. Step 3: Cross multiply
    912.95x = 1,369.52 × 450.33
  4. Step 4: Simplify right side
    912.95x = 616,733.69
  5. Step 5: Solve for x
    x = 616,733.69/912.95
  6. Step 6: Final answer
    x = 675.54

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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.