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Finding the Fourth Proportional to 3,253.95, 4,880.94 and 788.76

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Solution

The fourth proportional to 3,253.95, 4,880.94 and 788.76 is: 1,183.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,253.95 : 4,880.94 = 788.76 : x
  2. Step 2: Convert to fraction form
    3,253.95/4,880.94 = 788.76/x
  3. Step 3: Cross multiply
    3,253.95x = 4,880.94 × 788.76
  4. Step 4: Simplify right side
    3,253.95x = 3,849,890.23
  5. Step 5: Solve for x
    x = 3,849,890.23/3,253.95
  6. Step 6: Final answer
    x = 1,183.14

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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.