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Finding the Fourth Proportional to 1,000.71, 1,501.20 and 513.45

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Solution

The fourth proportional to 1,000.71, 1,501.20 and 513.45 is: 770.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.71 : 1,501.20 = 513.45 : x
  2. Step 2: Convert to fraction form
    1,000.71/1,501.20 = 513.45/x
  3. Step 3: Cross multiply
    1,000.71x = 1,501.20 × 513.45
  4. Step 4: Simplify right side
    1,000.71x = 770,791.14
  5. Step 5: Solve for x
    x = 770,791.14/1,000.71
  6. Step 6: Final answer
    x = 770.24

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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.