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Finding the Fourth Proportional to 893.99, 1,340.78 and 431.54

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Solution

The fourth proportional to 893.99, 1,340.78 and 431.54 is: 647.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.99 : 1,340.78 = 431.54 : x
  2. Step 2: Convert to fraction form
    893.99/1,340.78 = 431.54/x
  3. Step 3: Cross multiply
    893.99x = 1,340.78 × 431.54
  4. Step 4: Simplify right side
    893.99x = 578,598.04
  5. Step 5: Solve for x
    x = 578,598.04/893.99
  6. Step 6: Final answer
    x = 647.21

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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.