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Finding the Fourth Proportional to 1,276.41, 1,912.96 and 535.18

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Solution

The fourth proportional to 1,276.41, 1,912.96 and 535.18 is: 802.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.41 : 1,912.96 = 535.18 : x
  2. Step 2: Convert to fraction form
    1,276.41/1,912.96 = 535.18/x
  3. Step 3: Cross multiply
    1,276.41x = 1,912.96 × 535.18
  4. Step 4: Simplify right side
    1,276.41x = 1,023,777.93
  5. Step 5: Solve for x
    x = 1,023,777.93/1,276.41
  6. Step 6: Final answer
    x = 802.08

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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.