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Finding the Fourth Proportional to 1,324.50, 1,827.71 and 734.99

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Solution

The fourth proportional to 1,324.50, 1,827.71 and 734.99 is: 1,014.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.50 : 1,827.71 = 734.99 : x
  2. Step 2: Convert to fraction form
    1,324.50/1,827.71 = 734.99/x
  3. Step 3: Cross multiply
    1,324.50x = 1,827.71 × 734.99
  4. Step 4: Simplify right side
    1,324.50x = 1,343,339.43
  5. Step 5: Solve for x
    x = 1,343,339.43/1,324.50
  6. Step 6: Final answer
    x = 1,014.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.