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Finding the Fourth Proportional to 788.45, 1,182.25 and 510.77

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Solution

The fourth proportional to 788.45, 1,182.25 and 510.77 is: 765.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.45 : 1,182.25 = 510.77 : x
  2. Step 2: Convert to fraction form
    788.45/1,182.25 = 510.77/x
  3. Step 3: Cross multiply
    788.45x = 1,182.25 × 510.77
  4. Step 4: Simplify right side
    788.45x = 603,858.55
  5. Step 5: Solve for x
    x = 603,858.55/788.45
  6. Step 6: Final answer
    x = 765.88

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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.