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Finding the Fourth Proportional to 1,195.24, 1,792.85 and 465.33

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Solution

The fourth proportional to 1,195.24, 1,792.85 and 465.33 is: 697.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.24 : 1,792.85 = 465.33 : x
  2. Step 2: Convert to fraction form
    1,195.24/1,792.85 = 465.33/x
  3. Step 3: Cross multiply
    1,195.24x = 1,792.85 × 465.33
  4. Step 4: Simplify right side
    1,195.24x = 834,266.89
  5. Step 5: Solve for x
    x = 834,266.89/1,195.24
  6. Step 6: Final answer
    x = 697.99

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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.