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Finding the Fourth Proportional to 748.16, 1,120.64 and 563.52

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Solution

The fourth proportional to 748.16, 1,120.64 and 563.52 is: 844.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.16 : 1,120.64 = 563.52 : x
  2. Step 2: Convert to fraction form
    748.16/1,120.64 = 563.52/x
  3. Step 3: Cross multiply
    748.16x = 1,120.64 × 563.52
  4. Step 4: Simplify right side
    748.16x = 631,503.05
  5. Step 5: Solve for x
    x = 631,503.05/748.16
  6. Step 6: Final answer
    x = 844.07

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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.