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Finding the Fourth Proportional to 1,302.43, 1,950.54 and 716.53

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Solution

The fourth proportional to 1,302.43, 1,950.54 and 716.53 is: 1,073.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.43 : 1,950.54 = 716.53 : x
  2. Step 2: Convert to fraction form
    1,302.43/1,950.54 = 716.53/x
  3. Step 3: Cross multiply
    1,302.43x = 1,950.54 × 716.53
  4. Step 4: Simplify right side
    1,302.43x = 1,397,620.43
  5. Step 5: Solve for x
    x = 1,397,620.43/1,302.43
  6. Step 6: Final answer
    x = 1,073.09

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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.