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Finding the Fourth Proportional to 950.98, 1,312.89 and 909.70

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Solution

The fourth proportional to 950.98, 1,312.89 and 909.70 is: 1,255.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.98 : 1,312.89 = 909.70 : x
  2. Step 2: Convert to fraction form
    950.98/1,312.89 = 909.70/x
  3. Step 3: Cross multiply
    950.98x = 1,312.89 × 909.70
  4. Step 4: Simplify right side
    950.98x = 1,194,336.03
  5. Step 5: Solve for x
    x = 1,194,336.03/950.98
  6. Step 6: Final answer
    x = 1,255.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.