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Finding the Fourth Proportional to 1,323.94, 1,826.99 and 734.46

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Solution

The fourth proportional to 1,323.94, 1,826.99 and 734.46 is: 1,013.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.94 : 1,826.99 = 734.46 : x
  2. Step 2: Convert to fraction form
    1,323.94/1,826.99 = 734.46/x
  3. Step 3: Cross multiply
    1,323.94x = 1,826.99 × 734.46
  4. Step 4: Simplify right side
    1,323.94x = 1,341,851.08
  5. Step 5: Solve for x
    x = 1,341,851.08/1,323.94
  6. Step 6: Final answer
    x = 1,013.53

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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.