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Finding the Fourth Proportional to 893.89, 1,340.63 and 431.38

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Solution

The fourth proportional to 893.89, 1,340.63 and 431.38 is: 646.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.89 : 1,340.63 = 431.38 : x
  2. Step 2: Convert to fraction form
    893.89/1,340.63 = 431.38/x
  3. Step 3: Cross multiply
    893.89x = 1,340.63 × 431.38
  4. Step 4: Simplify right side
    893.89x = 578,315.46
  5. Step 5: Solve for x
    x = 578,315.46/893.89
  6. Step 6: Final answer
    x = 646.97

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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.