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Finding the Fourth Proportional to 803.10, 1,108.23 and 449.06

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Solution

The fourth proportional to 803.10, 1,108.23 and 449.06 is: 619.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.10 : 1,108.23 = 449.06 : x
  2. Step 2: Convert to fraction form
    803.10/1,108.23 = 449.06/x
  3. Step 3: Cross multiply
    803.10x = 1,108.23 × 449.06
  4. Step 4: Simplify right side
    803.10x = 497,663.30
  5. Step 5: Solve for x
    x = 497,663.30/803.10
  6. Step 6: Final answer
    x = 619.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.