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Finding the Fourth Proportional to 1,538.47, 2,306.51 and 716.63

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Solution

The fourth proportional to 1,538.47, 2,306.51 and 716.63 is: 1,074.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.47 : 2,306.51 = 716.63 : x
  2. Step 2: Convert to fraction form
    1,538.47/2,306.51 = 716.63/x
  3. Step 3: Cross multiply
    1,538.47x = 2,306.51 × 716.63
  4. Step 4: Simplify right side
    1,538.47x = 1,652,916.44
  5. Step 5: Solve for x
    x = 1,652,916.44/1,538.47
  6. Step 6: Final answer
    x = 1,074.39

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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.