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Finding the Fourth Proportional to 1,094.78, 1,642.80 and 401.36

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Solution

The fourth proportional to 1,094.78, 1,642.80 and 401.36 is: 602.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.78 : 1,642.80 = 401.36 : x
  2. Step 2: Convert to fraction form
    1,094.78/1,642.80 = 401.36/x
  3. Step 3: Cross multiply
    1,094.78x = 1,642.80 × 401.36
  4. Step 4: Simplify right side
    1,094.78x = 659,345.24
  5. Step 5: Solve for x
    x = 659,345.24/1,094.78
  6. Step 6: Final answer
    x = 602.26

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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.