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Finding the Fourth Proportional to 851.15, 1,174.83 and 497.15

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Solution

The fourth proportional to 851.15, 1,174.83 and 497.15 is: 686.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.15 : 1,174.83 = 497.15 : x
  2. Step 2: Convert to fraction form
    851.15/1,174.83 = 497.15/x
  3. Step 3: Cross multiply
    851.15x = 1,174.83 × 497.15
  4. Step 4: Simplify right side
    851.15x = 584,072.81
  5. Step 5: Solve for x
    x = 584,072.81/851.15
  6. Step 6: Final answer
    x = 686.21

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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.