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Finding the Fourth Proportional to 795.87, 1,098.32 and 464.54

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Solution

The fourth proportional to 795.87, 1,098.32 and 464.54 is: 641.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.87 : 1,098.32 = 464.54 : x
  2. Step 2: Convert to fraction form
    795.87/1,098.32 = 464.54/x
  3. Step 3: Cross multiply
    795.87x = 1,098.32 × 464.54
  4. Step 4: Simplify right side
    795.87x = 510,205.76
  5. Step 5: Solve for x
    x = 510,205.76/795.87
  6. Step 6: Final answer
    x = 641.07

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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.