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Finding the Fourth Proportional to 1,780.64, 2,671.02 and 482.12

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Solution

The fourth proportional to 1,780.64, 2,671.02 and 482.12 is: 723.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.64 : 2,671.02 = 482.12 : x
  2. Step 2: Convert to fraction form
    1,780.64/2,671.02 = 482.12/x
  3. Step 3: Cross multiply
    1,780.64x = 2,671.02 × 482.12
  4. Step 4: Simplify right side
    1,780.64x = 1,287,738.81
  5. Step 5: Solve for x
    x = 1,287,738.81/1,780.64
  6. Step 6: Final answer
    x = 723.19

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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.