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Finding the Fourth Proportional to 1,173.52, 1,758.92 and 479.86

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Solution

The fourth proportional to 1,173.52, 1,758.92 and 479.86 is: 719.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.52 : 1,758.92 = 479.86 : x
  2. Step 2: Convert to fraction form
    1,173.52/1,758.92 = 479.86/x
  3. Step 3: Cross multiply
    1,173.52x = 1,758.92 × 479.86
  4. Step 4: Simplify right side
    1,173.52x = 844,028.55
  5. Step 5: Solve for x
    x = 844,028.55/1,173.52
  6. Step 6: Final answer
    x = 719.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.