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Finding the Fourth Proportional to 1,514.44, 2,271.72 and 648.16

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Solution

The fourth proportional to 1,514.44, 2,271.72 and 648.16 is: 972.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.44 : 2,271.72 = 648.16 : x
  2. Step 2: Convert to fraction form
    1,514.44/2,271.72 = 648.16/x
  3. Step 3: Cross multiply
    1,514.44x = 2,271.72 × 648.16
  4. Step 4: Simplify right side
    1,514.44x = 1,472,438.04
  5. Step 5: Solve for x
    x = 1,472,438.04/1,514.44
  6. Step 6: Final answer
    x = 972.27

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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.