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Finding the Fourth Proportional to 1,603.82, 2,406.28 and 629.40

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Solution

The fourth proportional to 1,603.82, 2,406.28 and 629.40 is: 944.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.82 : 2,406.28 = 629.40 : x
  2. Step 2: Convert to fraction form
    1,603.82/2,406.28 = 629.40/x
  3. Step 3: Cross multiply
    1,603.82x = 2,406.28 × 629.40
  4. Step 4: Simplify right side
    1,603.82x = 1,514,512.63
  5. Step 5: Solve for x
    x = 1,514,512.63/1,603.82
  6. Step 6: Final answer
    x = 944.32

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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.