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Finding the Fourth Proportional to 1,323.93, 1,827.24 and 734.66

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Solution

The fourth proportional to 1,323.93, 1,827.24 and 734.66 is: 1,013.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.93 : 1,827.24 = 734.66 : x
  2. Step 2: Convert to fraction form
    1,323.93/1,827.24 = 734.66/x
  3. Step 3: Cross multiply
    1,323.93x = 1,827.24 × 734.66
  4. Step 4: Simplify right side
    1,323.93x = 1,342,398.78
  5. Step 5: Solve for x
    x = 1,342,398.78/1,323.93
  6. Step 6: Final answer
    x = 1,013.95

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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.