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Finding the Fourth Proportional to 666.30, 1,000.98 and 420.26

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Solution

The fourth proportional to 666.30, 1,000.98 and 420.26 is: 631.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.30 : 1,000.98 = 420.26 : x
  2. Step 2: Convert to fraction form
    666.30/1,000.98 = 420.26/x
  3. Step 3: Cross multiply
    666.30x = 1,000.98 × 420.26
  4. Step 4: Simplify right side
    666.30x = 420,674.36
  5. Step 5: Solve for x
    x = 420,674.36/666.30
  6. Step 6: Final answer
    x = 631.36

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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.