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Finding the Fourth Proportional to 1,017.19, 1,525.86 and 323.89

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Solution

The fourth proportional to 1,017.19, 1,525.86 and 323.89 is: 485.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.19 : 1,525.86 = 323.89 : x
  2. Step 2: Convert to fraction form
    1,017.19/1,525.86 = 323.89/x
  3. Step 3: Cross multiply
    1,017.19x = 1,525.86 × 323.89
  4. Step 4: Simplify right side
    1,017.19x = 494,210.80
  5. Step 5: Solve for x
    x = 494,210.80/1,017.19
  6. Step 6: Final answer
    x = 485.86

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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.