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Finding the Fourth Proportional to 748.56, 1,033.54 and 562.48

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Solution

The fourth proportional to 748.56, 1,033.54 and 562.48 is: 776.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.56 : 1,033.54 = 562.48 : x
  2. Step 2: Convert to fraction form
    748.56/1,033.54 = 562.48/x
  3. Step 3: Cross multiply
    748.56x = 1,033.54 × 562.48
  4. Step 4: Simplify right side
    748.56x = 581,345.58
  5. Step 5: Solve for x
    x = 581,345.58/748.56
  6. Step 6: Final answer
    x = 776.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.