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Finding the Fourth Proportional to 889.92, 1,337.24 and 457.36

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Solution

The fourth proportional to 889.92, 1,337.24 and 457.36 is: 687.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.92 : 1,337.24 = 457.36 : x
  2. Step 2: Convert to fraction form
    889.92/1,337.24 = 457.36/x
  3. Step 3: Cross multiply
    889.92x = 1,337.24 × 457.36
  4. Step 4: Simplify right side
    889.92x = 611,600.09
  5. Step 5: Solve for x
    x = 611,600.09/889.92
  6. Step 6: Final answer
    x = 687.25

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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.