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Finding the Fourth Proportional to 737.76, 1,106.13 and 275.42

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Solution

The fourth proportional to 737.76, 1,106.13 and 275.42 is: 412.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.76 : 1,106.13 = 275.42 : x
  2. Step 2: Convert to fraction form
    737.76/1,106.13 = 275.42/x
  3. Step 3: Cross multiply
    737.76x = 1,106.13 × 275.42
  4. Step 4: Simplify right side
    737.76x = 304,647.13
  5. Step 5: Solve for x
    x = 304,647.13/737.76
  6. Step 6: Final answer
    x = 412.93

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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.