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Finding the Fourth Proportional to 716.24, 1,073.66 and 253.94

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Solution

The fourth proportional to 716.24, 1,073.66 and 253.94 is: 380.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.24 : 1,073.66 = 253.94 : x
  2. Step 2: Convert to fraction form
    716.24/1,073.66 = 253.94/x
  3. Step 3: Cross multiply
    716.24x = 1,073.66 × 253.94
  4. Step 4: Simplify right side
    716.24x = 272,638.58
  5. Step 5: Solve for x
    x = 272,638.58/716.24
  6. Step 6: Final answer
    x = 380.65

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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.