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Finding the Fourth Proportional to 889.24, 1,333.86 and 456.12

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Solution

The fourth proportional to 889.24, 1,333.86 and 456.12 is: 684.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.24 : 1,333.86 = 456.12 : x
  2. Step 2: Convert to fraction form
    889.24/1,333.86 = 456.12/x
  3. Step 3: Cross multiply
    889.24x = 1,333.86 × 456.12
  4. Step 4: Simplify right side
    889.24x = 608,400.22
  5. Step 5: Solve for x
    x = 608,400.22/889.24
  6. Step 6: Final answer
    x = 684.18

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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.