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Finding the Fourth Proportional to 783.54, 1,175.47 and 321.36

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Solution

The fourth proportional to 783.54, 1,175.47 and 321.36 is: 482.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.54 : 1,175.47 = 321.36 : x
  2. Step 2: Convert to fraction form
    783.54/1,175.47 = 321.36/x
  3. Step 3: Cross multiply
    783.54x = 1,175.47 × 321.36
  4. Step 4: Simplify right side
    783.54x = 377,749.04
  5. Step 5: Solve for x
    x = 377,749.04/783.54
  6. Step 6: Final answer
    x = 482.11

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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.