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Finding the Fourth Proportional to 784.51, 1,176.10 and 394.03

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Solution

The fourth proportional to 784.51, 1,176.10 and 394.03 is: 590.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.51 : 1,176.10 = 394.03 : x
  2. Step 2: Convert to fraction form
    784.51/1,176.10 = 394.03/x
  3. Step 3: Cross multiply
    784.51x = 1,176.10 × 394.03
  4. Step 4: Simplify right side
    784.51x = 463,418.68
  5. Step 5: Solve for x
    x = 463,418.68/784.51
  6. Step 6: Final answer
    x = 590.71

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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.