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Finding the Fourth Proportional to 1,281.01, 1,765.94 and 849.11

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Solution

The fourth proportional to 1,281.01, 1,765.94 and 849.11 is: 1,170.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.01 : 1,765.94 = 849.11 : x
  2. Step 2: Convert to fraction form
    1,281.01/1,765.94 = 849.11/x
  3. Step 3: Cross multiply
    1,281.01x = 1,765.94 × 849.11
  4. Step 4: Simplify right side
    1,281.01x = 1,499,477.31
  5. Step 5: Solve for x
    x = 1,499,477.31/1,281.01
  6. Step 6: Final answer
    x = 1,170.54

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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.