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Finding the Fourth Proportional to 790.82, 1,185.76 and 585.38

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Solution

The fourth proportional to 790.82, 1,185.76 and 585.38 is: 877.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.82 : 1,185.76 = 585.38 : x
  2. Step 2: Convert to fraction form
    790.82/1,185.76 = 585.38/x
  3. Step 3: Cross multiply
    790.82x = 1,185.76 × 585.38
  4. Step 4: Simplify right side
    790.82x = 694,120.19
  5. Step 5: Solve for x
    x = 694,120.19/790.82
  6. Step 6: Final answer
    x = 877.72

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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.