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Finding the Fourth Proportional to 715.88, 1,074.14 and 253.96

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Solution

The fourth proportional to 715.88, 1,074.14 and 253.96 is: 381.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.88 : 1,074.14 = 253.96 : x
  2. Step 2: Convert to fraction form
    715.88/1,074.14 = 253.96/x
  3. Step 3: Cross multiply
    715.88x = 1,074.14 × 253.96
  4. Step 4: Simplify right side
    715.88x = 272,788.59
  5. Step 5: Solve for x
    x = 272,788.59/715.88
  6. Step 6: Final answer
    x = 381.05

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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.