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Finding the Fourth Proportional to 784.53, 1,176.17 and 394.07

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Solution

The fourth proportional to 784.53, 1,176.17 and 394.07 is: 590.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.53 : 1,176.17 = 394.07 : x
  2. Step 2: Convert to fraction form
    784.53/1,176.17 = 394.07/x
  3. Step 3: Cross multiply
    784.53x = 1,176.17 × 394.07
  4. Step 4: Simplify right side
    784.53x = 463,485.46
  5. Step 5: Solve for x
    x = 463,485.46/784.53
  6. Step 6: Final answer
    x = 590.78

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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.