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Finding the Fourth Proportional to 1,004.86, 1,506.14 and 517.33

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Solution

The fourth proportional to 1,004.86, 1,506.14 and 517.33 is: 775.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.86 : 1,506.14 = 517.33 : x
  2. Step 2: Convert to fraction form
    1,004.86/1,506.14 = 517.33/x
  3. Step 3: Cross multiply
    1,004.86x = 1,506.14 × 517.33
  4. Step 4: Simplify right side
    1,004.86x = 779,168.82
  5. Step 5: Solve for x
    x = 779,168.82/1,004.86
  6. Step 6: Final answer
    x = 775.40

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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.