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Finding the Fourth Proportional to 1,176.32, 1,765.44 and 407.36

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Solution

The fourth proportional to 1,176.32, 1,765.44 and 407.36 is: 611.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.32 : 1,765.44 = 407.36 : x
  2. Step 2: Convert to fraction form
    1,176.32/1,765.44 = 407.36/x
  3. Step 3: Cross multiply
    1,176.32x = 1,765.44 × 407.36
  4. Step 4: Simplify right side
    1,176.32x = 719,169.64
  5. Step 5: Solve for x
    x = 719,169.64/1,176.32
  6. Step 6: Final answer
    x = 611.37

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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.