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Finding the Fourth Proportional to 783.84, 1,175.72 and 321.50

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Solution

The fourth proportional to 783.84, 1,175.72 and 321.50 is: 482.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.84 : 1,175.72 = 321.50 : x
  2. Step 2: Convert to fraction form
    783.84/1,175.72 = 321.50/x
  3. Step 3: Cross multiply
    783.84x = 1,175.72 × 321.50
  4. Step 4: Simplify right side
    783.84x = 377,997.12
  5. Step 5: Solve for x
    x = 377,997.12/783.84
  6. Step 6: Final answer
    x = 482.24

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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.