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Finding the Fourth Proportional to 1,004.05, 1,506.62 and 517.11

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Solution

The fourth proportional to 1,004.05, 1,506.62 and 517.11 is: 775.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.05 : 1,506.62 = 517.11 : x
  2. Step 2: Convert to fraction form
    1,004.05/1,506.62 = 517.11/x
  3. Step 3: Cross multiply
    1,004.05x = 1,506.62 × 517.11
  4. Step 4: Simplify right side
    1,004.05x = 779,088.27
  5. Step 5: Solve for x
    x = 779,088.27/1,004.05
  6. Step 6: Final answer
    x = 775.95

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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.