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Finding the Fourth Proportional to 1,386.45, 1,912.05 and 914.01

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Solution

The fourth proportional to 1,386.45, 1,912.05 and 914.01 is: 1,260.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.45 : 1,912.05 = 914.01 : x
  2. Step 2: Convert to fraction form
    1,386.45/1,912.05 = 914.01/x
  3. Step 3: Cross multiply
    1,386.45x = 1,912.05 × 914.01
  4. Step 4: Simplify right side
    1,386.45x = 1,747,632.82
  5. Step 5: Solve for x
    x = 1,747,632.82/1,386.45
  6. Step 6: Final answer
    x = 1,260.51

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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.