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Finding the Fourth Proportional to 1,320.89, 1,981.17 and 347.09

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Solution

The fourth proportional to 1,320.89, 1,981.17 and 347.09 is: 520.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.89 : 1,981.17 = 347.09 : x
  2. Step 2: Convert to fraction form
    1,320.89/1,981.17 = 347.09/x
  3. Step 3: Cross multiply
    1,320.89x = 1,981.17 × 347.09
  4. Step 4: Simplify right side
    1,320.89x = 687,634.39
  5. Step 5: Solve for x
    x = 687,634.39/1,320.89
  6. Step 6: Final answer
    x = 520.59

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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.