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Finding the Fourth Proportional to 1,167.64, 1,751.54 and 509.54

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Solution

The fourth proportional to 1,167.64, 1,751.54 and 509.54 is: 764.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.64 : 1,751.54 = 509.54 : x
  2. Step 2: Convert to fraction form
    1,167.64/1,751.54 = 509.54/x
  3. Step 3: Cross multiply
    1,167.64x = 1,751.54 × 509.54
  4. Step 4: Simplify right side
    1,167.64x = 892,468.39
  5. Step 5: Solve for x
    x = 892,468.39/1,167.64
  6. Step 6: Final answer
    x = 764.34

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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.