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Finding the Fourth Proportional to 1,416.36, 2,125.35 and 550.74

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Solution

The fourth proportional to 1,416.36, 2,125.35 and 550.74 is: 826.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.36 : 2,125.35 = 550.74 : x
  2. Step 2: Convert to fraction form
    1,416.36/2,125.35 = 550.74/x
  3. Step 3: Cross multiply
    1,416.36x = 2,125.35 × 550.74
  4. Step 4: Simplify right side
    1,416.36x = 1,170,515.26
  5. Step 5: Solve for x
    x = 1,170,515.26/1,416.36
  6. Step 6: Final answer
    x = 826.42

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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.