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Finding the Fourth Proportional to 666.63, 1,000.35 and 447.59

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Solution

The fourth proportional to 666.63, 1,000.35 and 447.59 is: 671.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.63 : 1,000.35 = 447.59 : x
  2. Step 2: Convert to fraction form
    666.63/1,000.35 = 447.59/x
  3. Step 3: Cross multiply
    666.63x = 1,000.35 × 447.59
  4. Step 4: Simplify right side
    666.63x = 447,749.16
  5. Step 5: Solve for x
    x = 447,749.16/666.63
  6. Step 6: Final answer
    x = 671.66

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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.