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Finding the Fourth Proportional to 855.86, 1,180.61 and 590.27

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Solution

The fourth proportional to 855.86, 1,180.61 and 590.27 is: 814.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.86 : 1,180.61 = 590.27 : x
  2. Step 2: Convert to fraction form
    855.86/1,180.61 = 590.27/x
  3. Step 3: Cross multiply
    855.86x = 1,180.61 × 590.27
  4. Step 4: Simplify right side
    855.86x = 696,869.81
  5. Step 5: Solve for x
    x = 696,869.81/855.86
  6. Step 6: Final answer
    x = 814.24

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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.