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Finding the Fourth Proportional to 1,281.21, 1,919.82 and 760.17

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Solution

The fourth proportional to 1,281.21, 1,919.82 and 760.17 is: 1,139.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.21 : 1,919.82 = 760.17 : x
  2. Step 2: Convert to fraction form
    1,281.21/1,919.82 = 760.17/x
  3. Step 3: Cross multiply
    1,281.21x = 1,919.82 × 760.17
  4. Step 4: Simplify right side
    1,281.21x = 1,459,389.57
  5. Step 5: Solve for x
    x = 1,459,389.57/1,281.21
  6. Step 6: Final answer
    x = 1,139.07

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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.