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Finding the Fourth Proportional to 1,603.88, 2,404.97 and 823.57

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Solution

The fourth proportional to 1,603.88, 2,404.97 and 823.57 is: 1,234.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.88 : 2,404.97 = 823.57 : x
  2. Step 2: Convert to fraction form
    1,603.88/2,404.97 = 823.57/x
  3. Step 3: Cross multiply
    1,603.88x = 2,404.97 × 823.57
  4. Step 4: Simplify right side
    1,603.88x = 1,980,657.19
  5. Step 5: Solve for x
    x = 1,980,657.19/1,603.88
  6. Step 6: Final answer
    x = 1,234.91

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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.