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Finding the Fourth Proportional to 1,352.80, 2,029.68 and 583.84

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Solution

The fourth proportional to 1,352.80, 2,029.68 and 583.84 is: 875.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.80 : 2,029.68 = 583.84 : x
  2. Step 2: Convert to fraction form
    1,352.80/2,029.68 = 583.84/x
  3. Step 3: Cross multiply
    1,352.80x = 2,029.68 × 583.84
  4. Step 4: Simplify right side
    1,352.80x = 1,185,008.37
  5. Step 5: Solve for x
    x = 1,185,008.37/1,352.80
  6. Step 6: Final answer
    x = 875.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.