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Finding the Fourth Proportional to 736.34, 1,017.05 and 550.66

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Solution

The fourth proportional to 736.34, 1,017.05 and 550.66 is: 760.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.34 : 1,017.05 = 550.66 : x
  2. Step 2: Convert to fraction form
    736.34/1,017.05 = 550.66/x
  3. Step 3: Cross multiply
    736.34x = 1,017.05 × 550.66
  4. Step 4: Simplify right side
    736.34x = 560,043.67
  5. Step 5: Solve for x
    x = 560,043.67/736.34
  6. Step 6: Final answer
    x = 760.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.