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Finding the Fourth Proportional to 795.68, 1,098.06 and 480.88

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Solution

The fourth proportional to 795.68, 1,098.06 and 480.88 is: 663.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.68 : 1,098.06 = 480.88 : x
  2. Step 2: Convert to fraction form
    795.68/1,098.06 = 480.88/x
  3. Step 3: Cross multiply
    795.68x = 1,098.06 × 480.88
  4. Step 4: Simplify right side
    795.68x = 528,029.60
  5. Step 5: Solve for x
    x = 528,029.60/795.68
  6. Step 6: Final answer
    x = 663.62

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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.