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Finding the Fourth Proportional to 1,136.63, 1,701.81 and 971.60

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Solution

The fourth proportional to 1,136.63, 1,701.81 and 971.60 is: 1,454.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.63 : 1,701.81 = 971.60 : x
  2. Step 2: Convert to fraction form
    1,136.63/1,701.81 = 971.60/x
  3. Step 3: Cross multiply
    1,136.63x = 1,701.81 × 971.60
  4. Step 4: Simplify right side
    1,136.63x = 1,653,470.09
  5. Step 5: Solve for x
    x = 1,653,470.09/1,136.63
  6. Step 6: Final answer
    x = 1,454.71

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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.