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Finding the Fourth Proportional to 1,323.50, 1,826.84 and 975.20

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Solution

The fourth proportional to 1,323.50, 1,826.84 and 975.20 is: 1,346.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.50 : 1,826.84 = 975.20 : x
  2. Step 2: Convert to fraction form
    1,323.50/1,826.84 = 975.20/x
  3. Step 3: Cross multiply
    1,323.50x = 1,826.84 × 975.20
  4. Step 4: Simplify right side
    1,323.50x = 1,781,529.49
  5. Step 5: Solve for x
    x = 1,781,529.49/1,323.50
  6. Step 6: Final answer
    x = 1,346.07

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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.