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Finding the Fourth Proportional to 1,434.82, 2,151.84 and 394.58

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Solution

The fourth proportional to 1,434.82, 2,151.84 and 394.58 is: 591.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.82 : 2,151.84 = 394.58 : x
  2. Step 2: Convert to fraction form
    1,434.82/2,151.84 = 394.58/x
  3. Step 3: Cross multiply
    1,434.82x = 2,151.84 × 394.58
  4. Step 4: Simplify right side
    1,434.82x = 849,065.67
  5. Step 5: Solve for x
    x = 849,065.67/1,434.82
  6. Step 6: Final answer
    x = 591.76

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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.