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Finding the Fourth Proportional to 790.30, 1,185.81 and 497.73

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Solution

The fourth proportional to 790.30, 1,185.81 and 497.73 is: 746.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.30 : 1,185.81 = 497.73 : x
  2. Step 2: Convert to fraction form
    790.30/1,185.81 = 497.73/x
  3. Step 3: Cross multiply
    790.30x = 1,185.81 × 497.73
  4. Step 4: Simplify right side
    790.30x = 590,207.28
  5. Step 5: Solve for x
    x = 590,207.28/790.30
  6. Step 6: Final answer
    x = 746.82

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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.