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Finding the Fourth Proportional to 3,329.73, 4,994.58 and 864.35

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Solution

The fourth proportional to 3,329.73, 4,994.58 and 864.35 is: 1,296.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,329.73 : 4,994.58 = 864.35 : x
  2. Step 2: Convert to fraction form
    3,329.73/4,994.58 = 864.35/x
  3. Step 3: Cross multiply
    3,329.73x = 4,994.58 × 864.35
  4. Step 4: Simplify right side
    3,329.73x = 4,317,040.25
  5. Step 5: Solve for x
    x = 4,317,040.25/3,329.73
  6. Step 6: Final answer
    x = 1,296.51

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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.