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Finding the Fourth Proportional to 956.98, 1,436.80 and 495.09

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Solution

The fourth proportional to 956.98, 1,436.80 and 495.09 is: 743.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.98 : 1,436.80 = 495.09 : x
  2. Step 2: Convert to fraction form
    956.98/1,436.80 = 495.09/x
  3. Step 3: Cross multiply
    956.98x = 1,436.80 × 495.09
  4. Step 4: Simplify right side
    956.98x = 711,345.31
  5. Step 5: Solve for x
    x = 711,345.31/956.98
  6. Step 6: Final answer
    x = 743.32

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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.