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Finding the Fourth Proportional to 666.23, 1,000.23 and 432.29

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Solution

The fourth proportional to 666.23, 1,000.23 and 432.29 is: 649.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.23 : 1,000.23 = 432.29 : x
  2. Step 2: Convert to fraction form
    666.23/1,000.23 = 432.29/x
  3. Step 3: Cross multiply
    666.23x = 1,000.23 × 432.29
  4. Step 4: Simplify right side
    666.23x = 432,389.43
  5. Step 5: Solve for x
    x = 432,389.43/666.23
  6. Step 6: Final answer
    x = 649.01

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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.