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Finding the Fourth Proportional to 1,624.46, 2,435.77 and 650.78

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Solution

The fourth proportional to 1,624.46, 2,435.77 and 650.78 is: 975.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.46 : 2,435.77 = 650.78 : x
  2. Step 2: Convert to fraction form
    1,624.46/2,435.77 = 650.78/x
  3. Step 3: Cross multiply
    1,624.46x = 2,435.77 × 650.78
  4. Step 4: Simplify right side
    1,624.46x = 1,585,161.87
  5. Step 5: Solve for x
    x = 1,585,161.87/1,624.46
  6. Step 6: Final answer
    x = 975.81

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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.