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Finding the Fourth Proportional to 1,017.35, 1,526.21 and 323.84

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Solution

The fourth proportional to 1,017.35, 1,526.21 and 323.84 is: 485.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.35 : 1,526.21 = 323.84 : x
  2. Step 2: Convert to fraction form
    1,017.35/1,526.21 = 323.84/x
  3. Step 3: Cross multiply
    1,017.35x = 1,526.21 × 323.84
  4. Step 4: Simplify right side
    1,017.35x = 494,250.04
  5. Step 5: Solve for x
    x = 494,250.04/1,017.35
  6. Step 6: Final answer
    x = 485.82

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