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Finding the Fourth Proportional to 718.97, 1,078.23 and 256.69

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Solution

The fourth proportional to 718.97, 1,078.23 and 256.69 is: 384.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.97 : 1,078.23 = 256.69 : x
  2. Step 2: Convert to fraction form
    718.97/1,078.23 = 256.69/x
  3. Step 3: Cross multiply
    718.97x = 1,078.23 × 256.69
  4. Step 4: Simplify right side
    718.97x = 276,768.16
  5. Step 5: Solve for x
    x = 276,768.16/718.97
  6. Step 6: Final answer
    x = 384.95

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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.