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Finding the Fourth Proportional to 780, 1,170.48 and 324

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Solution

The fourth proportional to 780, 1,170.48 and 324 is: 486.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    780 : 1,170.48 = 324 : x
  2. Step 2: Convert to fraction form
    780/1,170.48 = 324/x
  3. Step 3: Cross multiply
    780x = 1,170.48 × 324
  4. Step 4: Simplify right side
    780x = 379,235.52
  5. Step 5: Solve for x
    x = 379,235.52/780
  6. Step 6: Final answer
    x = 486.20

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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.