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Finding the Fourth Proportional to 737.51, 1,106.36 and 275.17

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Solution

The fourth proportional to 737.51, 1,106.36 and 275.17 is: 412.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.51 : 1,106.36 = 275.17 : x
  2. Step 2: Convert to fraction form
    737.51/1,106.36 = 275.17/x
  3. Step 3: Cross multiply
    737.51x = 1,106.36 × 275.17
  4. Step 4: Simplify right side
    737.51x = 304,439.16
  5. Step 5: Solve for x
    x = 304,439.16/737.51
  6. Step 6: Final answer
    x = 412.80

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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.