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Finding the Fourth Proportional to 666.60, 1,000.08 and 255.78

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Solution

The fourth proportional to 666.60, 1,000.08 and 255.78 is: 383.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.60 : 1,000.08 = 255.78 : x
  2. Step 2: Convert to fraction form
    666.60/1,000.08 = 255.78/x
  3. Step 3: Cross multiply
    666.60x = 1,000.08 × 255.78
  4. Step 4: Simplify right side
    666.60x = 255,800.46
  5. Step 5: Solve for x
    x = 255,800.46/666.60
  6. Step 6: Final answer
    x = 383.74

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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.