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Finding the Fourth Proportional to 852.85, 1,175.46 and 632.35

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Solution

The fourth proportional to 852.85, 1,175.46 and 632.35 is: 871.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.85 : 1,175.46 = 632.35 : x
  2. Step 2: Convert to fraction form
    852.85/1,175.46 = 632.35/x
  3. Step 3: Cross multiply
    852.85x = 1,175.46 × 632.35
  4. Step 4: Simplify right side
    852.85x = 743,302.13
  5. Step 5: Solve for x
    x = 743,302.13/852.85
  6. Step 6: Final answer
    x = 871.55

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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.