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Finding the Fourth Proportional to 1,324.08, 1,985.67 and 446.40

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Solution

The fourth proportional to 1,324.08, 1,985.67 and 446.40 is: 669.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.08 : 1,985.67 = 446.40 : x
  2. Step 2: Convert to fraction form
    1,324.08/1,985.67 = 446.40/x
  3. Step 3: Cross multiply
    1,324.08x = 1,985.67 × 446.40
  4. Step 4: Simplify right side
    1,324.08x = 886,403.09
  5. Step 5: Solve for x
    x = 886,403.09/1,324.08
  6. Step 6: Final answer
    x = 669.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.