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Finding the Fourth Proportional to 790.57, 1,184.37 and 595.63

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Solution

The fourth proportional to 790.57, 1,184.37 and 595.63 is: 892.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.57 : 1,184.37 = 595.63 : x
  2. Step 2: Convert to fraction form
    790.57/1,184.37 = 595.63/x
  3. Step 3: Cross multiply
    790.57x = 1,184.37 × 595.63
  4. Step 4: Simplify right side
    790.57x = 705,446.30
  5. Step 5: Solve for x
    x = 705,446.30/790.57
  6. Step 6: Final answer
    x = 892.33

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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.