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Finding the Fourth Proportional to 666.66, 1,000.51 and 462.66

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Solution

The fourth proportional to 666.66, 1,000.51 and 462.66 is: 694.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.66 : 1,000.51 = 462.66 : x
  2. Step 2: Convert to fraction form
    666.66/1,000.51 = 462.66/x
  3. Step 3: Cross multiply
    666.66x = 1,000.51 × 462.66
  4. Step 4: Simplify right side
    666.66x = 462,893.64
  5. Step 5: Solve for x
    x = 462,893.64/666.66
  6. Step 6: Final answer
    x = 694.35

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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.