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Finding the Fourth Proportional to 801.25, 1,105.05 and 521.35

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Solution

The fourth proportional to 801.25, 1,105.05 and 521.35 is: 719.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.25 : 1,105.05 = 521.35 : x
  2. Step 2: Convert to fraction form
    801.25/1,105.05 = 521.35/x
  3. Step 3: Cross multiply
    801.25x = 1,105.05 × 521.35
  4. Step 4: Simplify right side
    801.25x = 576,117.82
  5. Step 5: Solve for x
    x = 576,117.82/801.25
  6. Step 6: Final answer
    x = 719.02

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