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Finding the Fourth Proportional to 783.45, 1,174.77 and 393.03

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Solution

The fourth proportional to 783.45, 1,174.77 and 393.03 is: 589.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.45 : 1,174.77 = 393.03 : x
  2. Step 2: Convert to fraction form
    783.45/1,174.77 = 393.03/x
  3. Step 3: Cross multiply
    783.45x = 1,174.77 × 393.03
  4. Step 4: Simplify right side
    783.45x = 461,719.85
  5. Step 5: Solve for x
    x = 461,719.85/783.45
  6. Step 6: Final answer
    x = 589.34

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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.