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Finding the Fourth Proportional to 736.80, 1,106.11 and 584.62

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Solution

The fourth proportional to 736.80, 1,106.11 and 584.62 is: 877.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.80 : 1,106.11 = 584.62 : x
  2. Step 2: Convert to fraction form
    736.80/1,106.11 = 584.62/x
  3. Step 3: Cross multiply
    736.80x = 1,106.11 × 584.62
  4. Step 4: Simplify right side
    736.80x = 646,648.71
  5. Step 5: Solve for x
    x = 646,648.71/736.80
  6. Step 6: Final answer
    x = 877.65

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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.