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Finding the Fourth Proportional to 1,324.10, 1,827.32 and 734.63

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Solution

The fourth proportional to 1,324.10, 1,827.32 and 734.63 is: 1,013.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.10 : 1,827.32 = 734.63 : x
  2. Step 2: Convert to fraction form
    1,324.10/1,827.32 = 734.63/x
  3. Step 3: Cross multiply
    1,324.10x = 1,827.32 × 734.63
  4. Step 4: Simplify right side
    1,324.10x = 1,342,391.28
  5. Step 5: Solve for x
    x = 1,342,391.28/1,324.10
  6. Step 6: Final answer
    x = 1,013.81

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1.5x scale

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.