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Finding the Fourth Proportional to 746.11, 1,119.53 and 564.63

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Solution

The fourth proportional to 746.11, 1,119.53 and 564.63 is: 847.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.11 : 1,119.53 = 564.63 : x
  2. Step 2: Convert to fraction form
    746.11/1,119.53 = 564.63/x
  3. Step 3: Cross multiply
    746.11x = 1,119.53 × 564.63
  4. Step 4: Simplify right side
    746.11x = 632,120.22
  5. Step 5: Solve for x
    x = 632,120.22/746.11
  6. Step 6: Final answer
    x = 847.22

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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.