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Finding the Fourth Proportional to 835.80, 1,152.60 and 555.78

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Solution

The fourth proportional to 835.80, 1,152.60 and 555.78 is: 766.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.80 : 1,152.60 = 555.78 : x
  2. Step 2: Convert to fraction form
    835.80/1,152.60 = 555.78/x
  3. Step 3: Cross multiply
    835.80x = 1,152.60 × 555.78
  4. Step 4: Simplify right side
    835.80x = 640,592.03
  5. Step 5: Solve for x
    x = 640,592.03/835.80
  6. Step 6: Final answer
    x = 766.44

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