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Finding the Fourth Proportional to 788.37, 1,182.54 and 595.86

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Solution

The fourth proportional to 788.37, 1,182.54 and 595.86 is: 893.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.37 : 1,182.54 = 595.86 : x
  2. Step 2: Convert to fraction form
    788.37/1,182.54 = 595.86/x
  3. Step 3: Cross multiply
    788.37x = 1,182.54 × 595.86
  4. Step 4: Simplify right side
    788.37x = 704,628.28
  5. Step 5: Solve for x
    x = 704,628.28/788.37
  6. Step 6: Final answer
    x = 893.78

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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.