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Finding the Fourth Proportional to 1,026.57, 1,536.75 and 968.94

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Solution

The fourth proportional to 1,026.57, 1,536.75 and 968.94 is: 1,450.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.57 : 1,536.75 = 968.94 : x
  2. Step 2: Convert to fraction form
    1,026.57/1,536.75 = 968.94/x
  3. Step 3: Cross multiply
    1,026.57x = 1,536.75 × 968.94
  4. Step 4: Simplify right side
    1,026.57x = 1,489,018.55
  5. Step 5: Solve for x
    x = 1,489,018.55/1,026.57
  6. Step 6: Final answer
    x = 1,450.48

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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.