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Finding the Fourth Proportional to 1,295.19, 1,786.32 and 797.67

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Solution

The fourth proportional to 1,295.19, 1,786.32 and 797.67 is: 1,100.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.19 : 1,786.32 = 797.67 : x
  2. Step 2: Convert to fraction form
    1,295.19/1,786.32 = 797.67/x
  3. Step 3: Cross multiply
    1,295.19x = 1,786.32 × 797.67
  4. Step 4: Simplify right side
    1,295.19x = 1,424,893.87
  5. Step 5: Solve for x
    x = 1,424,893.87/1,295.19
  6. Step 6: Final answer
    x = 1,100.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.