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Finding the Fourth Proportional to 1,225.89, 1,837.09 and 950.70

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Solution

The fourth proportional to 1,225.89, 1,837.09 and 950.70 is: 1,424.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.89 : 1,837.09 = 950.70 : x
  2. Step 2: Convert to fraction form
    1,225.89/1,837.09 = 950.70/x
  3. Step 3: Cross multiply
    1,225.89x = 1,837.09 × 950.70
  4. Step 4: Simplify right side
    1,225.89x = 1,746,521.46
  5. Step 5: Solve for x
    x = 1,746,521.46/1,225.89
  6. Step 6: Final answer
    x = 1,424.70

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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.