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Finding the Fourth Proportional to 1,254.08, 1,879.68 and 964.64

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Solution

The fourth proportional to 1,254.08, 1,879.68 and 964.64 is: 1,445.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.08 : 1,879.68 = 964.64 : x
  2. Step 2: Convert to fraction form
    1,254.08/1,879.68 = 964.64/x
  3. Step 3: Cross multiply
    1,254.08x = 1,879.68 × 964.64
  4. Step 4: Simplify right side
    1,254.08x = 1,813,214.52
  5. Step 5: Solve for x
    x = 1,813,214.52/1,254.08
  6. Step 6: Final answer
    x = 1,445.85

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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.