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Finding the Fourth Proportional to 737.06, 1,106.13 and 564.23

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Solution

The fourth proportional to 737.06, 1,106.13 and 564.23 is: 846.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.06 : 1,106.13 = 564.23 : x
  2. Step 2: Convert to fraction form
    737.06/1,106.13 = 564.23/x
  3. Step 3: Cross multiply
    737.06x = 1,106.13 × 564.23
  4. Step 4: Simplify right side
    737.06x = 624,111.73
  5. Step 5: Solve for x
    x = 624,111.73/737.06
  6. Step 6: Final answer
    x = 846.76

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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.