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Finding the Fourth Proportional to 783.86, 1,175.77 and 321.51

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Solution

The fourth proportional to 783.86, 1,175.77 and 321.51 is: 482.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.86 : 1,175.77 = 321.51 : x
  2. Step 2: Convert to fraction form
    783.86/1,175.77 = 321.51/x
  3. Step 3: Cross multiply
    783.86x = 1,175.77 × 321.51
  4. Step 4: Simplify right side
    783.86x = 378,021.81
  5. Step 5: Solve for x
    x = 378,021.81/783.86
  6. Step 6: Final answer
    x = 482.26

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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.