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Finding the Fourth Proportional to 825.16, 1,138.64 and 546

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Solution

The fourth proportional to 825.16, 1,138.64 and 546 is: 753.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.16 : 1,138.64 = 546 : x
  2. Step 2: Convert to fraction form
    825.16/1,138.64 = 546/x
  3. Step 3: Cross multiply
    825.16x = 1,138.64 × 546
  4. Step 4: Simplify right side
    825.16x = 621,697.44
  5. Step 5: Solve for x
    x = 621,697.44/825.16
  6. Step 6: Final answer
    x = 753.43

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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.