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Finding the Fourth Proportional to 835.80, 1,252.12 and 652.32

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Solution

The fourth proportional to 835.80, 1,252.12 and 652.32 is: 977.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.80 : 1,252.12 = 652.32 : x
  2. Step 2: Convert to fraction form
    835.80/1,252.12 = 652.32/x
  3. Step 3: Cross multiply
    835.80x = 1,252.12 × 652.32
  4. Step 4: Simplify right side
    835.80x = 816,782.92
  5. Step 5: Solve for x
    x = 816,782.92/835.80
  6. Step 6: Final answer
    x = 977.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.