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Finding the Fourth Proportional to 666.01, 1,001.04 and 646.98

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Solution

The fourth proportional to 666.01, 1,001.04 and 646.98 is: 972.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.01 : 1,001.04 = 646.98 : x
  2. Step 2: Convert to fraction form
    666.01/1,001.04 = 646.98/x
  3. Step 3: Cross multiply
    666.01x = 1,001.04 × 646.98
  4. Step 4: Simplify right side
    666.01x = 647,652.86
  5. Step 5: Solve for x
    x = 647,652.86/666.01
  6. Step 6: Final answer
    x = 972.44

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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.