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Finding the Fourth Proportional to 1,206.44, 1,809.51 and 328.91

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Solution

The fourth proportional to 1,206.44, 1,809.51 and 328.91 is: 493.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.44 : 1,809.51 = 328.91 : x
  2. Step 2: Convert to fraction form
    1,206.44/1,809.51 = 328.91/x
  3. Step 3: Cross multiply
    1,206.44x = 1,809.51 × 328.91
  4. Step 4: Simplify right side
    1,206.44x = 595,156.89
  5. Step 5: Solve for x
    x = 595,156.89/1,206.44
  6. Step 6: Final answer
    x = 493.32

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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.