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Finding the Fourth Proportional to 1,405.44, 2,108.49 and 431.54

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Solution

The fourth proportional to 1,405.44, 2,108.49 and 431.54 is: 647.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.44 : 2,108.49 = 431.54 : x
  2. Step 2: Convert to fraction form
    1,405.44/2,108.49 = 431.54/x
  3. Step 3: Cross multiply
    1,405.44x = 2,108.49 × 431.54
  4. Step 4: Simplify right side
    1,405.44x = 909,897.77
  5. Step 5: Solve for x
    x = 909,897.77/1,405.44
  6. Step 6: Final answer
    x = 647.41

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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.