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Finding the Fourth Proportional to 1,395.78, 2,094.63 and 780.42

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Solution

The fourth proportional to 1,395.78, 2,094.63 and 780.42 is: 1,171.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.78 : 2,094.63 = 780.42 : x
  2. Step 2: Convert to fraction form
    1,395.78/2,094.63 = 780.42/x
  3. Step 3: Cross multiply
    1,395.78x = 2,094.63 × 780.42
  4. Step 4: Simplify right side
    1,395.78x = 1,634,691.14
  5. Step 5: Solve for x
    x = 1,634,691.14/1,395.78
  6. Step 6: Final answer
    x = 1,171.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.