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Finding the Fourth Proportional to 1,310.58, 1,967.07 and 617.64

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Solution

The fourth proportional to 1,310.58, 1,967.07 and 617.64 is: 927.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.58 : 1,967.07 = 617.64 : x
  2. Step 2: Convert to fraction form
    1,310.58/1,967.07 = 617.64/x
  3. Step 3: Cross multiply
    1,310.58x = 1,967.07 × 617.64
  4. Step 4: Simplify right side
    1,310.58x = 1,214,941.11
  5. Step 5: Solve for x
    x = 1,214,941.11/1,310.58
  6. Step 6: Final answer
    x = 927.03

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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.