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Finding the Fourth Proportional to 1,017.99, 1,526.61 and 628.20

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Solution

The fourth proportional to 1,017.99, 1,526.61 and 628.20 is: 942.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.99 : 1,526.61 = 628.20 : x
  2. Step 2: Convert to fraction form
    1,017.99/1,526.61 = 628.20/x
  3. Step 3: Cross multiply
    1,017.99x = 1,526.61 × 628.20
  4. Step 4: Simplify right side
    1,017.99x = 959,016.40
  5. Step 5: Solve for x
    x = 959,016.40/1,017.99
  6. Step 6: Final answer
    x = 942.07

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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.