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Finding the Fourth Proportional to 2,432.25, 3,648.06 and 788.63

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Solution

The fourth proportional to 2,432.25, 3,648.06 and 788.63 is: 1,182.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.25 : 3,648.06 = 788.63 : x
  2. Step 2: Convert to fraction form
    2,432.25/3,648.06 = 788.63/x
  3. Step 3: Cross multiply
    2,432.25x = 3,648.06 × 788.63
  4. Step 4: Simplify right side
    2,432.25x = 2,876,969.56
  5. Step 5: Solve for x
    x = 2,876,969.56/2,432.25
  6. Step 6: Final answer
    x = 1,182.84

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1.5x scale

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.