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Finding the Fourth Proportional to 1,404.84, 2,107.26 and 364.85

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Solution

The fourth proportional to 1,404.84, 2,107.26 and 364.85 is: 547.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.84 : 2,107.26 = 364.85 : x
  2. Step 2: Convert to fraction form
    1,404.84/2,107.26 = 364.85/x
  3. Step 3: Cross multiply
    1,404.84x = 2,107.26 × 364.85
  4. Step 4: Simplify right side
    1,404.84x = 768,831.18
  5. Step 5: Solve for x
    x = 768,831.18/1,404.84
  6. Step 6: Final answer
    x = 547.27

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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.