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Finding the Fourth Proportional to 1,282.95, 1,919.61 and 761.04

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Solution

The fourth proportional to 1,282.95, 1,919.61 and 761.04 is: 1,138.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.95 : 1,919.61 = 761.04 : x
  2. Step 2: Convert to fraction form
    1,282.95/1,919.61 = 761.04/x
  3. Step 3: Cross multiply
    1,282.95x = 1,919.61 × 761.04
  4. Step 4: Simplify right side
    1,282.95x = 1,460,899.99
  5. Step 5: Solve for x
    x = 1,460,899.99/1,282.95
  6. Step 6: Final answer
    x = 1,138.70

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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.