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Finding the Fourth Proportional to 766.03, 1,056.54 and 579.55

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Solution

The fourth proportional to 766.03, 1,056.54 and 579.55 is: 799.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.03 : 1,056.54 = 579.55 : x
  2. Step 2: Convert to fraction form
    766.03/1,056.54 = 579.55/x
  3. Step 3: Cross multiply
    766.03x = 1,056.54 × 579.55
  4. Step 4: Simplify right side
    766.03x = 612,317.76
  5. Step 5: Solve for x
    x = 612,317.76/766.03
  6. Step 6: Final answer
    x = 799.34

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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.