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Finding the Fourth Proportional to 785.52, 1,178.37 and 582.66

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Solution

The fourth proportional to 785.52, 1,178.37 and 582.66 is: 874.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.52 : 1,178.37 = 582.66 : x
  2. Step 2: Convert to fraction form
    785.52/1,178.37 = 582.66/x
  3. Step 3: Cross multiply
    785.52x = 1,178.37 × 582.66
  4. Step 4: Simplify right side
    785.52x = 686,589.06
  5. Step 5: Solve for x
    x = 686,589.06/785.52
  6. Step 6: Final answer
    x = 874.06

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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.