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Finding the Fourth Proportional to 1,177.23, 1,765.84 and 407.19

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Solution

The fourth proportional to 1,177.23, 1,765.84 and 407.19 is: 610.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.23 : 1,765.84 = 407.19 : x
  2. Step 2: Convert to fraction form
    1,177.23/1,765.84 = 407.19/x
  3. Step 3: Cross multiply
    1,177.23x = 1,765.84 × 407.19
  4. Step 4: Simplify right side
    1,177.23x = 719,032.39
  5. Step 5: Solve for x
    x = 719,032.39/1,177.23
  6. Step 6: Final answer
    x = 610.78

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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.