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Finding the Fourth Proportional to 1,280.95, 1,919.64 and 585.88

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Solution

The fourth proportional to 1,280.95, 1,919.64 and 585.88 is: 878.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.95 : 1,919.64 = 585.88 : x
  2. Step 2: Convert to fraction form
    1,280.95/1,919.64 = 585.88/x
  3. Step 3: Cross multiply
    1,280.95x = 1,919.64 × 585.88
  4. Step 4: Simplify right side
    1,280.95x = 1,124,676.08
  5. Step 5: Solve for x
    x = 1,124,676.08/1,280.95
  6. Step 6: Final answer
    x = 878.00

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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.