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Finding the Fourth Proportional to 1,000.14, 1,497.62 and 513.42

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Solution

The fourth proportional to 1,000.14, 1,497.62 and 513.42 is: 768.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.14 : 1,497.62 = 513.42 : x
  2. Step 2: Convert to fraction form
    1,000.14/1,497.62 = 513.42/x
  3. Step 3: Cross multiply
    1,000.14x = 1,497.62 × 513.42
  4. Step 4: Simplify right side
    1,000.14x = 768,908.06
  5. Step 5: Solve for x
    x = 768,908.06/1,000.14
  6. Step 6: Final answer
    x = 768.80

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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.