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Finding the Fourth Proportional to 1,195.19, 1,792.47 and 465.29

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Solution

The fourth proportional to 1,195.19, 1,792.47 and 465.29 is: 697.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.19 : 1,792.47 = 465.29 : x
  2. Step 2: Convert to fraction form
    1,195.19/1,792.47 = 465.29/x
  3. Step 3: Cross multiply
    1,195.19x = 1,792.47 × 465.29
  4. Step 4: Simplify right side
    1,195.19x = 834,018.37
  5. Step 5: Solve for x
    x = 834,018.37/1,195.19
  6. Step 6: Final answer
    x = 697.81

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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.