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Finding the Fourth Proportional to 1,176.63, 1,765.21 and 407.13

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Solution

The fourth proportional to 1,176.63, 1,765.21 and 407.13 is: 610.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.63 : 1,765.21 = 407.13 : x
  2. Step 2: Convert to fraction form
    1,176.63/1,765.21 = 407.13/x
  3. Step 3: Cross multiply
    1,176.63x = 1,765.21 × 407.13
  4. Step 4: Simplify right side
    1,176.63x = 718,669.95
  5. Step 5: Solve for x
    x = 718,669.95/1,176.63
  6. Step 6: Final answer
    x = 610.79

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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.