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Finding the Fourth Proportional to 1,369.45, 1,889.88 and 780.01

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Solution

The fourth proportional to 1,369.45, 1,889.88 and 780.01 is: 1,076.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.45 : 1,889.88 = 780.01 : x
  2. Step 2: Convert to fraction form
    1,369.45/1,889.88 = 780.01/x
  3. Step 3: Cross multiply
    1,369.45x = 1,889.88 × 780.01
  4. Step 4: Simplify right side
    1,369.45x = 1,474,125.30
  5. Step 5: Solve for x
    x = 1,474,125.30/1,369.45
  6. Step 6: Final answer
    x = 1,076.44

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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.