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Finding the Fourth Proportional to 804.10, 1,108.58 and 638.86

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Solution

The fourth proportional to 804.10, 1,108.58 and 638.86 is: 880.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.10 : 1,108.58 = 638.86 : x
  2. Step 2: Convert to fraction form
    804.10/1,108.58 = 638.86/x
  3. Step 3: Cross multiply
    804.10x = 1,108.58 × 638.86
  4. Step 4: Simplify right side
    804.10x = 708,227.42
  5. Step 5: Solve for x
    x = 708,227.42/804.10
  6. Step 6: Final answer
    x = 880.77

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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.