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Finding the Fourth Proportional to 900.84, 1,242.35 and 768.54

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Solution

The fourth proportional to 900.84, 1,242.35 and 768.54 is: 1,059.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.84 : 1,242.35 = 768.54 : x
  2. Step 2: Convert to fraction form
    900.84/1,242.35 = 768.54/x
  3. Step 3: Cross multiply
    900.84x = 1,242.35 × 768.54
  4. Step 4: Simplify right side
    900.84x = 954,786.72
  5. Step 5: Solve for x
    x = 954,786.72/900.84
  6. Step 6: Final answer
    x = 1,059.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.