Home / 1,311.34-1,966.74-617.81

Finding the Fourth Proportional to 1,311.34, 1,966.74 and 617.81

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Solution

The fourth proportional to 1,311.34, 1,966.74 and 617.81 is: 926.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.34 : 1,966.74 = 617.81 : x
  2. Step 2: Convert to fraction form
    1,311.34/1,966.74 = 617.81/x
  3. Step 3: Cross multiply
    1,311.34x = 1,966.74 × 617.81
  4. Step 4: Simplify right side
    1,311.34x = 1,215,068.55
  5. Step 5: Solve for x
    x = 1,215,068.55/1,311.34
  6. Step 6: Final answer
    x = 926.59

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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.