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Finding the Fourth Proportional to 889.72, 1,333.50 and 456.64

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Solution

The fourth proportional to 889.72, 1,333.50 and 456.64 is: 684.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.72 : 1,333.50 = 456.64 : x
  2. Step 2: Convert to fraction form
    889.72/1,333.50 = 456.64/x
  3. Step 3: Cross multiply
    889.72x = 1,333.50 × 456.64
  4. Step 4: Simplify right side
    889.72x = 608,929.44
  5. Step 5: Solve for x
    x = 608,929.44/889.72
  6. Step 6: Final answer
    x = 684.41

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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.