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Finding the Fourth Proportional to 1,323.47, 1,826.40 and 734.02

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Solution

The fourth proportional to 1,323.47, 1,826.40 and 734.02 is: 1,012.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.47 : 1,826.40 = 734.02 : x
  2. Step 2: Convert to fraction form
    1,323.47/1,826.40 = 734.02/x
  3. Step 3: Cross multiply
    1,323.47x = 1,826.40 × 734.02
  4. Step 4: Simplify right side
    1,323.47x = 1,340,614.13
  5. Step 5: Solve for x
    x = 1,340,614.13/1,323.47
  6. Step 6: Final answer
    x = 1,012.95

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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.