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Finding the Fourth Proportional to 805.10, 1,202.56 and 642.32

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Solution

The fourth proportional to 805.10, 1,202.56 and 642.32 is: 959.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.10 : 1,202.56 = 642.32 : x
  2. Step 2: Convert to fraction form
    805.10/1,202.56 = 642.32/x
  3. Step 3: Cross multiply
    805.10x = 1,202.56 × 642.32
  4. Step 4: Simplify right side
    805.10x = 772,428.34
  5. Step 5: Solve for x
    x = 772,428.34/805.10
  6. Step 6: Final answer
    x = 959.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.