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Finding the Fourth Proportional to 835.24, 1,152.12 and 555.88

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Solution

The fourth proportional to 835.24, 1,152.12 and 555.88 is: 766.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.24 : 1,152.12 = 555.88 : x
  2. Step 2: Convert to fraction form
    835.24/1,152.12 = 555.88/x
  3. Step 3: Cross multiply
    835.24x = 1,152.12 × 555.88
  4. Step 4: Simplify right side
    835.24x = 640,440.47
  5. Step 5: Solve for x
    x = 640,440.47/835.24
  6. Step 6: Final answer
    x = 766.77

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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.