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Finding the Fourth Proportional to 1,550.35, 2,325.57 and 684.07

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Solution

The fourth proportional to 1,550.35, 2,325.57 and 684.07 is: 1,026.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.35 : 2,325.57 = 684.07 : x
  2. Step 2: Convert to fraction form
    1,550.35/2,325.57 = 684.07/x
  3. Step 3: Cross multiply
    1,550.35x = 2,325.57 × 684.07
  4. Step 4: Simplify right side
    1,550.35x = 1,590,852.67
  5. Step 5: Solve for x
    x = 1,590,852.67/1,550.35
  6. Step 6: Final answer
    x = 1,026.12

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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.