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Finding the Fourth Proportional to 1,195.76, 1,792.02 and 675.51

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Solution

The fourth proportional to 1,195.76, 1,792.02 and 675.51 is: 1,012.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.76 : 1,792.02 = 675.51 : x
  2. Step 2: Convert to fraction form
    1,195.76/1,792.02 = 675.51/x
  3. Step 3: Cross multiply
    1,195.76x = 1,792.02 × 675.51
  4. Step 4: Simplify right side
    1,195.76x = 1,210,527.43
  5. Step 5: Solve for x
    x = 1,210,527.43/1,195.76
  6. Step 6: Final answer
    x = 1,012.35

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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.