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Finding the Fourth Proportional to 1,323.49, 1,826.53 and 734.02

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Solution

The fourth proportional to 1,323.49, 1,826.53 and 734.02 is: 1,013.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.49 : 1,826.53 = 734.02 : x
  2. Step 2: Convert to fraction form
    1,323.49/1,826.53 = 734.02/x
  3. Step 3: Cross multiply
    1,323.49x = 1,826.53 × 734.02
  4. Step 4: Simplify right side
    1,323.49x = 1,340,696.75
  5. Step 5: Solve for x
    x = 1,340,696.75/1,323.49
  6. Step 6: Final answer
    x = 1,013.00

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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.