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Finding the Fourth Proportional to 1,325.48, 1,986.84 and 447.68

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Solution

The fourth proportional to 1,325.48, 1,986.84 and 447.68 is: 671.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.48 : 1,986.84 = 447.68 : x
  2. Step 2: Convert to fraction form
    1,325.48/1,986.84 = 447.68/x
  3. Step 3: Cross multiply
    1,325.48x = 1,986.84 × 447.68
  4. Step 4: Simplify right side
    1,325.48x = 889,461.33
  5. Step 5: Solve for x
    x = 889,461.33/1,325.48
  6. Step 6: Final answer
    x = 671.05

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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.