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Finding the Fourth Proportional to 1,295.16, 1,778.64 and 1,108.65

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Solution

The fourth proportional to 1,295.16, 1,778.64 and 1,108.65 is: 1,522.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.16 : 1,778.64 = 1,108.65 : x
  2. Step 2: Convert to fraction form
    1,295.16/1,778.64 = 1,108.65/x
  3. Step 3: Cross multiply
    1,295.16x = 1,778.64 × 1,108.65
  4. Step 4: Simplify right side
    1,295.16x = 1,971,889.24
  5. Step 5: Solve for x
    x = 1,971,889.24/1,295.16
  6. Step 6: Final answer
    x = 1,522.51

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.