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Finding the Fourth Proportional to 1,276.64, 1,759.12 and 1,026.96

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Solution

The fourth proportional to 1,276.64, 1,759.12 and 1,026.96 is: 1,415.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.64 : 1,759.12 = 1,026.96 : x
  2. Step 2: Convert to fraction form
    1,276.64/1,759.12 = 1,026.96/x
  3. Step 3: Cross multiply
    1,276.64x = 1,759.12 × 1,026.96
  4. Step 4: Simplify right side
    1,276.64x = 1,806,545.88
  5. Step 5: Solve for x
    x = 1,806,545.88/1,276.64
  6. Step 6: Final answer
    x = 1,415.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.