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Finding the Fourth Proportional to 1,486.35, 2,229.53 and 513.14

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Solution

The fourth proportional to 1,486.35, 2,229.53 and 513.14 is: 769.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.35 : 2,229.53 = 513.14 : x
  2. Step 2: Convert to fraction form
    1,486.35/2,229.53 = 513.14/x
  3. Step 3: Cross multiply
    1,486.35x = 2,229.53 × 513.14
  4. Step 4: Simplify right side
    1,486.35x = 1,144,047.31
  5. Step 5: Solve for x
    x = 1,144,047.31/1,486.35
  6. Step 6: Final answer
    x = 769.70

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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.