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Finding the Fourth Proportional to 893.19, 1,338.89 and 430.84

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Solution

The fourth proportional to 893.19, 1,338.89 and 430.84 is: 645.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.19 : 1,338.89 = 430.84 : x
  2. Step 2: Convert to fraction form
    893.19/1,338.89 = 430.84/x
  3. Step 3: Cross multiply
    893.19x = 1,338.89 × 430.84
  4. Step 4: Simplify right side
    893.19x = 576,840.67
  5. Step 5: Solve for x
    x = 576,840.67/893.19
  6. Step 6: Final answer
    x = 645.82

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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.