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Finding the Fourth Proportional to 779.06, 1,076.50 and 557.62

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Solution

The fourth proportional to 779.06, 1,076.50 and 557.62 is: 770.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.06 : 1,076.50 = 557.62 : x
  2. Step 2: Convert to fraction form
    779.06/1,076.50 = 557.62/x
  3. Step 3: Cross multiply
    779.06x = 1,076.50 × 557.62
  4. Step 4: Simplify right side
    779.06x = 600,277.93
  5. Step 5: Solve for x
    x = 600,277.93/779.06
  6. Step 6: Final answer
    x = 770.52

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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.