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Finding the Fourth Proportional to 914.12, 1,261.61 and 541.32

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Solution

The fourth proportional to 914.12, 1,261.61 and 541.32 is: 747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.12 : 1,261.61 = 541.32 : x
  2. Step 2: Convert to fraction form
    914.12/1,261.61 = 541.32/x
  3. Step 3: Cross multiply
    914.12x = 1,261.61 × 541.32
  4. Step 4: Simplify right side
    914.12x = 682,934.73
  5. Step 5: Solve for x
    x = 682,934.73/914.12
  6. Step 6: Final answer
    x = 747.10

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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.