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Finding the Fourth Proportional to 1,323.64, 1,826.72 and 734.23

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Solution

The fourth proportional to 1,323.64, 1,826.72 and 734.23 is: 1,013.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.64 : 1,826.72 = 734.23 : x
  2. Step 2: Convert to fraction form
    1,323.64/1,826.72 = 734.23/x
  3. Step 3: Cross multiply
    1,323.64x = 1,826.72 × 734.23
  4. Step 4: Simplify right side
    1,323.64x = 1,341,232.63
  5. Step 5: Solve for x
    x = 1,341,232.63/1,323.64
  6. Step 6: Final answer
    x = 1,013.29

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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.