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Finding the Fourth Proportional to 1,280.70, 1,756.04 and 1,155.87

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Solution

The fourth proportional to 1,280.70, 1,756.04 and 1,155.87 is: 1,584.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.70 : 1,756.04 = 1,155.87 : x
  2. Step 2: Convert to fraction form
    1,280.70/1,756.04 = 1,155.87/x
  3. Step 3: Cross multiply
    1,280.70x = 1,756.04 × 1,155.87
  4. Step 4: Simplify right side
    1,280.70x = 2,029,748.18
  5. Step 5: Solve for x
    x = 2,029,748.18/1,280.70
  6. Step 6: Final answer
    x = 1,584.87

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.