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Finding the Fourth Proportional to 1,317.42, 1,975.98 and 495.61

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Solution

The fourth proportional to 1,317.42, 1,975.98 and 495.61 is: 743.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.42 : 1,975.98 = 495.61 : x
  2. Step 2: Convert to fraction form
    1,317.42/1,975.98 = 495.61/x
  3. Step 3: Cross multiply
    1,317.42x = 1,975.98 × 495.61
  4. Step 4: Simplify right side
    1,317.42x = 979,315.45
  5. Step 5: Solve for x
    x = 979,315.45/1,317.42
  6. Step 6: Final answer
    x = 743.36

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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.