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Finding the Fourth Proportional to 1,310.88, 1,966.86 and 444.72

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Solution

The fourth proportional to 1,310.88, 1,966.86 and 444.72 is: 667.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.88 : 1,966.86 = 444.72 : x
  2. Step 2: Convert to fraction form
    1,310.88/1,966.86 = 444.72/x
  3. Step 3: Cross multiply
    1,310.88x = 1,966.86 × 444.72
  4. Step 4: Simplify right side
    1,310.88x = 874,701.98
  5. Step 5: Solve for x
    x = 874,701.98/1,310.88
  6. Step 6: Final answer
    x = 667.26

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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.