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Finding the Fourth Proportional to 840.21, 1,159.58 and 541.49

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Solution

The fourth proportional to 840.21, 1,159.58 and 541.49 is: 747.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.21 : 1,159.58 = 541.49 : x
  2. Step 2: Convert to fraction form
    840.21/1,159.58 = 541.49/x
  3. Step 3: Cross multiply
    840.21x = 1,159.58 × 541.49
  4. Step 4: Simplify right side
    840.21x = 627,896.53
  5. Step 5: Solve for x
    x = 627,896.53/840.21
  6. Step 6: Final answer
    x = 747.31

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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.