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Finding the Fourth Proportional to 718.62, 1,078.12 and 256.42

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Solution

The fourth proportional to 718.62, 1,078.12 and 256.42 is: 384.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.62 : 1,078.12 = 256.42 : x
  2. Step 2: Convert to fraction form
    718.62/1,078.12 = 256.42/x
  3. Step 3: Cross multiply
    718.62x = 1,078.12 × 256.42
  4. Step 4: Simplify right side
    718.62x = 276,451.53
  5. Step 5: Solve for x
    x = 276,451.53/718.62
  6. Step 6: Final answer
    x = 384.70

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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.