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Finding the Fourth Proportional to 1,316.38, 1,975.59 and 495.40

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Solution

The fourth proportional to 1,316.38, 1,975.59 and 495.40 is: 743.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.38 : 1,975.59 = 495.40 : x
  2. Step 2: Convert to fraction form
    1,316.38/1,975.59 = 495.40/x
  3. Step 3: Cross multiply
    1,316.38x = 1,975.59 × 495.40
  4. Step 4: Simplify right side
    1,316.38x = 978,707.29
  5. Step 5: Solve for x
    x = 978,707.29/1,316.38
  6. Step 6: Final answer
    x = 743.48

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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.