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Finding the Fourth Proportional to 1,774.63, 2,662.14 and 541.72

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Solution

The fourth proportional to 1,774.63, 2,662.14 and 541.72 is: 812.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.63 : 2,662.14 = 541.72 : x
  2. Step 2: Convert to fraction form
    1,774.63/2,662.14 = 541.72/x
  3. Step 3: Cross multiply
    1,774.63x = 2,662.14 × 541.72
  4. Step 4: Simplify right side
    1,774.63x = 1,442,134.48
  5. Step 5: Solve for x
    x = 1,442,134.48/1,774.63
  6. Step 6: Final answer
    x = 812.64

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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.