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Finding the Fourth Proportional to 1,528.44, 2,290.14 and 650.24

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Solution

The fourth proportional to 1,528.44, 2,290.14 and 650.24 is: 974.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.44 : 2,290.14 = 650.24 : x
  2. Step 2: Convert to fraction form
    1,528.44/2,290.14 = 650.24/x
  3. Step 3: Cross multiply
    1,528.44x = 2,290.14 × 650.24
  4. Step 4: Simplify right side
    1,528.44x = 1,489,140.63
  5. Step 5: Solve for x
    x = 1,489,140.63/1,528.44
  6. Step 6: Final answer
    x = 974.29

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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.