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Finding the Fourth Proportional to 835.96, 1,152.92 and 626.63

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Solution

The fourth proportional to 835.96, 1,152.92 and 626.63 is: 864.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.96 : 1,152.92 = 626.63 : x
  2. Step 2: Convert to fraction form
    835.96/1,152.92 = 626.63/x
  3. Step 3: Cross multiply
    835.96x = 1,152.92 × 626.63
  4. Step 4: Simplify right side
    835.96x = 722,448.50
  5. Step 5: Solve for x
    x = 722,448.50/835.96
  6. Step 6: Final answer
    x = 864.22

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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.