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Finding the Fourth Proportional to 858.86, 1,184.75 and 593.27

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Solution

The fourth proportional to 858.86, 1,184.75 and 593.27 is: 818.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.86 : 1,184.75 = 593.27 : x
  2. Step 2: Convert to fraction form
    858.86/1,184.75 = 593.27/x
  3. Step 3: Cross multiply
    858.86x = 1,184.75 × 593.27
  4. Step 4: Simplify right side
    858.86x = 702,867.74
  5. Step 5: Solve for x
    x = 702,867.74/858.86
  6. Step 6: Final answer
    x = 818.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.