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Finding the Fourth Proportional to 1,167.64, 1,609.77 and 917.98

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Solution

The fourth proportional to 1,167.64, 1,609.77 and 917.98 is: 1,265.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.64 : 1,609.77 = 917.98 : x
  2. Step 2: Convert to fraction form
    1,167.64/1,609.77 = 917.98/x
  3. Step 3: Cross multiply
    1,167.64x = 1,609.77 × 917.98
  4. Step 4: Simplify right side
    1,167.64x = 1,477,736.66
  5. Step 5: Solve for x
    x = 1,477,736.66/1,167.64
  6. Step 6: Final answer
    x = 1,265.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.