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Finding the Fourth Proportional to 1,015.16, 1,514.77 and 953.24

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Solution

The fourth proportional to 1,015.16, 1,514.77 and 953.24 is: 1,422.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.16 : 1,514.77 = 953.24 : x
  2. Step 2: Convert to fraction form
    1,015.16/1,514.77 = 953.24/x
  3. Step 3: Cross multiply
    1,015.16x = 1,514.77 × 953.24
  4. Step 4: Simplify right side
    1,015.16x = 1,443,939.35
  5. Step 5: Solve for x
    x = 1,443,939.35/1,015.16
  6. Step 6: Final answer
    x = 1,422.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.