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Finding the Fourth Proportional to 788.24, 1,182.12 and 446

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Solution

The fourth proportional to 788.24, 1,182.12 and 446 is: 668.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.24 : 1,182.12 = 446 : x
  2. Step 2: Convert to fraction form
    788.24/1,182.12 = 446/x
  3. Step 3: Cross multiply
    788.24x = 1,182.12 × 446
  4. Step 4: Simplify right side
    788.24x = 527,225.52
  5. Step 5: Solve for x
    x = 527,225.52/788.24
  6. Step 6: Final answer
    x = 668.86

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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.