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Finding the Fourth Proportional to 1,324.12, 1,827.13 and 734.51

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Solution

The fourth proportional to 1,324.12, 1,827.13 and 734.51 is: 1,013.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.12 : 1,827.13 = 734.51 : x
  2. Step 2: Convert to fraction form
    1,324.12/1,827.13 = 734.51/x
  3. Step 3: Cross multiply
    1,324.12x = 1,827.13 × 734.51
  4. Step 4: Simplify right side
    1,324.12x = 1,342,045.26
  5. Step 5: Solve for x
    x = 1,342,045.26/1,324.12
  6. Step 6: Final answer
    x = 1,013.54

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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.