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Finding the Fourth Proportional to 1,265.78, 1,900.90 and 719.04

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Solution

The fourth proportional to 1,265.78, 1,900.90 and 719.04 is: 1,079.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.78 : 1,900.90 = 719.04 : x
  2. Step 2: Convert to fraction form
    1,265.78/1,900.90 = 719.04/x
  3. Step 3: Cross multiply
    1,265.78x = 1,900.90 × 719.04
  4. Step 4: Simplify right side
    1,265.78x = 1,366,823.14
  5. Step 5: Solve for x
    x = 1,366,823.14/1,265.78
  6. Step 6: Final answer
    x = 1,079.83

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Why These Related Problems?

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