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Finding the Fourth Proportional to 1,366.90, 2,047.58 and 716.26

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Solution

The fourth proportional to 1,366.90, 2,047.58 and 716.26 is: 1,072.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.90 : 2,047.58 = 716.26 : x
  2. Step 2: Convert to fraction form
    1,366.90/2,047.58 = 716.26/x
  3. Step 3: Cross multiply
    1,366.90x = 2,047.58 × 716.26
  4. Step 4: Simplify right side
    1,366.90x = 1,466,599.65
  5. Step 5: Solve for x
    x = 1,466,599.65/1,366.90
  6. Step 6: Final answer
    x = 1,072.94

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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.