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Finding the Fourth Proportional to 841.84, 1,262.84 and 431.33

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Solution

The fourth proportional to 841.84, 1,262.84 and 431.33 is: 647.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.84 : 1,262.84 = 431.33 : x
  2. Step 2: Convert to fraction form
    841.84/1,262.84 = 431.33/x
  3. Step 3: Cross multiply
    841.84x = 1,262.84 × 431.33
  4. Step 4: Simplify right side
    841.84x = 544,692.31
  5. Step 5: Solve for x
    x = 544,692.31/841.84
  6. Step 6: Final answer
    x = 647.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.