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Finding the Fourth Proportional to 883.16, 1,323.84 and 450.08

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Solution

The fourth proportional to 883.16, 1,323.84 and 450.08 is: 674.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.16 : 1,323.84 = 450.08 : x
  2. Step 2: Convert to fraction form
    883.16/1,323.84 = 450.08/x
  3. Step 3: Cross multiply
    883.16x = 1,323.84 × 450.08
  4. Step 4: Simplify right side
    883.16x = 595,833.91
  5. Step 5: Solve for x
    x = 595,833.91/883.16
  6. Step 6: Final answer
    x = 674.66

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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.