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Finding the Fourth Proportional to 737.42, 1,106.64 and 477.31

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Solution

The fourth proportional to 737.42, 1,106.64 and 477.31 is: 716.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.42 : 1,106.64 = 477.31 : x
  2. Step 2: Convert to fraction form
    737.42/1,106.64 = 477.31/x
  3. Step 3: Cross multiply
    737.42x = 1,106.64 × 477.31
  4. Step 4: Simplify right side
    737.42x = 528,202.42
  5. Step 5: Solve for x
    x = 528,202.42/737.42
  6. Step 6: Final answer
    x = 716.28

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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.