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Finding the Fourth Proportional to 666.64, 1,000.42 and 471.63

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Solution

The fourth proportional to 666.64, 1,000.42 and 471.63 is: 707.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.64 : 1,000.42 = 471.63 : x
  2. Step 2: Convert to fraction form
    666.64/1,000.42 = 471.63/x
  3. Step 3: Cross multiply
    666.64x = 1,000.42 × 471.63
  4. Step 4: Simplify right side
    666.64x = 471,830.66
  5. Step 5: Solve for x
    x = 471,830.66/666.64
  6. Step 6: Final answer
    x = 707.77

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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.