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Finding the Fourth Proportional to 795.96, 1,098.40 and 446.64

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Solution

The fourth proportional to 795.96, 1,098.40 and 446.64 is: 616.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.96 : 1,098.40 = 446.64 : x
  2. Step 2: Convert to fraction form
    795.96/1,098.40 = 446.64/x
  3. Step 3: Cross multiply
    795.96x = 1,098.40 × 446.64
  4. Step 4: Simplify right side
    795.96x = 490,589.38
  5. Step 5: Solve for x
    x = 490,589.38/795.96
  6. Step 6: Final answer
    x = 616.35

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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.