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Finding the Fourth Proportional to 1,312.98, 1,807.43 and 1,195.44

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Solution

The fourth proportional to 1,312.98, 1,807.43 and 1,195.44 is: 1,645.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.98 : 1,807.43 = 1,195.44 : x
  2. Step 2: Convert to fraction form
    1,312.98/1,807.43 = 1,195.44/x
  3. Step 3: Cross multiply
    1,312.98x = 1,807.43 × 1,195.44
  4. Step 4: Simplify right side
    1,312.98x = 2,160,674.12
  5. Step 5: Solve for x
    x = 2,160,674.12/1,312.98
  6. Step 6: Final answer
    x = 1,645.63

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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.