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Finding the Fourth Proportional to 788.01, 1,181.74 and 514.77

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Solution

The fourth proportional to 788.01, 1,181.74 and 514.77 is: 771.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.01 : 1,181.74 = 514.77 : x
  2. Step 2: Convert to fraction form
    788.01/1,181.74 = 514.77/x
  3. Step 3: Cross multiply
    788.01x = 1,181.74 × 514.77
  4. Step 4: Simplify right side
    788.01x = 608,324.30
  5. Step 5: Solve for x
    x = 608,324.30/788.01
  6. Step 6: Final answer
    x = 771.98

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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.