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Finding the Fourth Proportional to 802.82, 1,204.32 and 438.14

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Solution

The fourth proportional to 802.82, 1,204.32 and 438.14 is: 657.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.82 : 1,204.32 = 438.14 : x
  2. Step 2: Convert to fraction form
    802.82/1,204.32 = 438.14/x
  3. Step 3: Cross multiply
    802.82x = 1,204.32 × 438.14
  4. Step 4: Simplify right side
    802.82x = 527,660.76
  5. Step 5: Solve for x
    x = 527,660.76/802.82
  6. Step 6: Final answer
    x = 657.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.