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Finding the Fourth Proportional to 1,311.61, 1,966.59 and 617.86

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Solution

The fourth proportional to 1,311.61, 1,966.59 and 617.86 is: 926.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.61 : 1,966.59 = 617.86 : x
  2. Step 2: Convert to fraction form
    1,311.61/1,966.59 = 617.86/x
  3. Step 3: Cross multiply
    1,311.61x = 1,966.59 × 617.86
  4. Step 4: Simplify right side
    1,311.61x = 1,215,077.30
  5. Step 5: Solve for x
    x = 1,215,077.30/1,311.61
  6. Step 6: Final answer
    x = 926.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.