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Finding the Fourth Proportional to 1,326.38, 1,989.56 and 414.38

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Solution

The fourth proportional to 1,326.38, 1,989.56 and 414.38 is: 621.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.38 : 1,989.56 = 414.38 : x
  2. Step 2: Convert to fraction form
    1,326.38/1,989.56 = 414.38/x
  3. Step 3: Cross multiply
    1,326.38x = 1,989.56 × 414.38
  4. Step 4: Simplify right side
    1,326.38x = 824,424.96
  5. Step 5: Solve for x
    x = 824,424.96/1,326.38
  6. Step 6: Final answer
    x = 621.56

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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.