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Finding the Fourth Proportional to 1,326.24, 1,989.38 and 352.34

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Solution

The fourth proportional to 1,326.24, 1,989.38 and 352.34 is: 528.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.24 : 1,989.38 = 352.34 : x
  2. Step 2: Convert to fraction form
    1,326.24/1,989.38 = 352.34/x
  3. Step 3: Cross multiply
    1,326.24x = 1,989.38 × 352.34
  4. Step 4: Simplify right side
    1,326.24x = 700,938.15
  5. Step 5: Solve for x
    x = 700,938.15/1,326.24
  6. Step 6: Final answer
    x = 528.52

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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.