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Finding the Fourth Proportional to 1,300.91, 1,951.83 and 608.09

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Solution

The fourth proportional to 1,300.91, 1,951.83 and 608.09 is: 912.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.91 : 1,951.83 = 608.09 : x
  2. Step 2: Convert to fraction form
    1,300.91/1,951.83 = 608.09/x
  3. Step 3: Cross multiply
    1,300.91x = 1,951.83 × 608.09
  4. Step 4: Simplify right side
    1,300.91x = 1,186,878.55
  5. Step 5: Solve for x
    x = 1,186,878.55/1,300.91
  6. Step 6: Final answer
    x = 912.35

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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.