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Finding the Fourth Proportional to 1,320.84, 1,981.62 and 455.22

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Solution

The fourth proportional to 1,320.84, 1,981.62 and 455.22 is: 682.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.84 : 1,981.62 = 455.22 : x
  2. Step 2: Convert to fraction form
    1,320.84/1,981.62 = 455.22/x
  3. Step 3: Cross multiply
    1,320.84x = 1,981.62 × 455.22
  4. Step 4: Simplify right side
    1,320.84x = 902,073.06
  5. Step 5: Solve for x
    x = 902,073.06/1,320.84
  6. Step 6: Final answer
    x = 682.95

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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.