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Finding the Fourth Proportional to 851.25, 1,174.77 and 497.41

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Solution

The fourth proportional to 851.25, 1,174.77 and 497.41 is: 686.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.25 : 1,174.77 = 497.41 : x
  2. Step 2: Convert to fraction form
    851.25/1,174.77 = 497.41/x
  3. Step 3: Cross multiply
    851.25x = 1,174.77 × 497.41
  4. Step 4: Simplify right side
    851.25x = 584,339.41
  5. Step 5: Solve for x
    x = 584,339.41/851.25
  6. Step 6: Final answer
    x = 686.45

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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.