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Finding the Fourth Proportional to 1,114.28, 1,537.80 and 648.56

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Solution

The fourth proportional to 1,114.28, 1,537.80 and 648.56 is: 895.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.28 : 1,537.80 = 648.56 : x
  2. Step 2: Convert to fraction form
    1,114.28/1,537.80 = 648.56/x
  3. Step 3: Cross multiply
    1,114.28x = 1,537.80 × 648.56
  4. Step 4: Simplify right side
    1,114.28x = 997,355.57
  5. Step 5: Solve for x
    x = 997,355.57/1,114.28
  6. Step 6: Final answer
    x = 895.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.