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Finding the Fourth Proportional to 1,017.24, 1,522.22 and 650.31

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Solution

The fourth proportional to 1,017.24, 1,522.22 and 650.31 is: 973.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.24 : 1,522.22 = 650.31 : x
  2. Step 2: Convert to fraction form
    1,017.24/1,522.22 = 650.31/x
  3. Step 3: Cross multiply
    1,017.24x = 1,522.22 × 650.31
  4. Step 4: Simplify right side
    1,017.24x = 989,911.64
  5. Step 5: Solve for x
    x = 989,911.64/1,017.24
  6. Step 6: Final answer
    x = 973.13

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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.