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Finding the Fourth Proportional to 1,514.66, 2,272.96 and 648.98

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Solution

The fourth proportional to 1,514.66, 2,272.96 and 648.98 is: 973.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.66 : 2,272.96 = 648.98 : x
  2. Step 2: Convert to fraction form
    1,514.66/2,272.96 = 648.98/x
  3. Step 3: Cross multiply
    1,514.66x = 2,272.96 × 648.98
  4. Step 4: Simplify right side
    1,514.66x = 1,475,105.58
  5. Step 5: Solve for x
    x = 1,475,105.58/1,514.66
  6. Step 6: Final answer
    x = 973.89

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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.