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Finding the Fourth Proportional to 790.18, 1,182.82 and 617.35

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Solution

The fourth proportional to 790.18, 1,182.82 and 617.35 is: 924.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.18 : 1,182.82 = 617.35 : x
  2. Step 2: Convert to fraction form
    790.18/1,182.82 = 617.35/x
  3. Step 3: Cross multiply
    790.18x = 1,182.82 × 617.35
  4. Step 4: Simplify right side
    790.18x = 730,213.93
  5. Step 5: Solve for x
    x = 730,213.93/790.18
  6. Step 6: Final answer
    x = 924.11

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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.