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Finding the Fourth Proportional to 783.92, 1,176.50 and 509.94

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Solution

The fourth proportional to 783.92, 1,176.50 and 509.94 is: 765.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.92 : 1,176.50 = 509.94 : x
  2. Step 2: Convert to fraction form
    783.92/1,176.50 = 509.94/x
  3. Step 3: Cross multiply
    783.92x = 1,176.50 × 509.94
  4. Step 4: Simplify right side
    783.92x = 599,945.68
  5. Step 5: Solve for x
    x = 599,945.68/783.92
  6. Step 6: Final answer
    x = 765.31

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Why These Related Problems?

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