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Finding the Fourth Proportional to 1,487.14, 2,230.96 and 513.01

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Solution

The fourth proportional to 1,487.14, 2,230.96 and 513.01 is: 769.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.14 : 2,230.96 = 513.01 : x
  2. Step 2: Convert to fraction form
    1,487.14/2,230.96 = 513.01/x
  3. Step 3: Cross multiply
    1,487.14x = 2,230.96 × 513.01
  4. Step 4: Simplify right side
    1,487.14x = 1,144,510.37
  5. Step 5: Solve for x
    x = 1,144,510.37/1,487.14
  6. Step 6: Final answer
    x = 769.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.