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Finding the Fourth Proportional to 851.80, 1,175.55 and 497.83

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Solution

The fourth proportional to 851.80, 1,175.55 and 497.83 is: 687.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.80 : 1,175.55 = 497.83 : x
  2. Step 2: Convert to fraction form
    851.80/1,175.55 = 497.83/x
  3. Step 3: Cross multiply
    851.80x = 1,175.55 × 497.83
  4. Step 4: Simplify right side
    851.80x = 585,224.06
  5. Step 5: Solve for x
    x = 585,224.06/851.80
  6. Step 6: Final answer
    x = 687.04

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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.