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Finding the Fourth Proportional to 1,665.76, 2,299.50 and 967

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Solution

The fourth proportional to 1,665.76, 2,299.50 and 967 is: 1,334.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.76 : 2,299.50 = 967 : x
  2. Step 2: Convert to fraction form
    1,665.76/2,299.50 = 967/x
  3. Step 3: Cross multiply
    1,665.76x = 2,299.50 × 967
  4. Step 4: Simplify right side
    1,665.76x = 2,223,616.50
  5. Step 5: Solve for x
    x = 2,223,616.50/1,665.76
  6. Step 6: Final answer
    x = 1,334.90

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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.