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Finding the Fourth Proportional to 1,332.37, 1,999.64 and 683.29

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Solution

The fourth proportional to 1,332.37, 1,999.64 and 683.29 is: 1,025.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.37 : 1,999.64 = 683.29 : x
  2. Step 2: Convert to fraction form
    1,332.37/1,999.64 = 683.29/x
  3. Step 3: Cross multiply
    1,332.37x = 1,999.64 × 683.29
  4. Step 4: Simplify right side
    1,332.37x = 1,366,334.02
  5. Step 5: Solve for x
    x = 1,366,334.02/1,332.37
  6. Step 6: Final answer
    x = 1,025.49

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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.