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Finding the Fourth Proportional to 1,464.50, 2,021.20 and 835.22

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Solution

The fourth proportional to 1,464.50, 2,021.20 and 835.22 is: 1,152.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.50 : 2,021.20 = 835.22 : x
  2. Step 2: Convert to fraction form
    1,464.50/2,021.20 = 835.22/x
  3. Step 3: Cross multiply
    1,464.50x = 2,021.20 × 835.22
  4. Step 4: Simplify right side
    1,464.50x = 1,688,146.66
  5. Step 5: Solve for x
    x = 1,688,146.66/1,464.50
  6. Step 6: Final answer
    x = 1,152.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.