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Finding the Fourth Proportional to 1,017.12, 1,525.92 and 323.83

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Solution

The fourth proportional to 1,017.12, 1,525.92 and 323.83 is: 485.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.12 : 1,525.92 = 323.83 : x
  2. Step 2: Convert to fraction form
    1,017.12/1,525.92 = 323.83/x
  3. Step 3: Cross multiply
    1,017.12x = 1,525.92 × 323.83
  4. Step 4: Simplify right side
    1,017.12x = 494,141.19
  5. Step 5: Solve for x
    x = 494,141.19/1,017.12
  6. Step 6: Final answer
    x = 485.82

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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.