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Finding the Fourth Proportional to 1,276.07, 1,760.01 and 856.31

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Solution

The fourth proportional to 1,276.07, 1,760.01 and 856.31 is: 1,181.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.07 : 1,760.01 = 856.31 : x
  2. Step 2: Convert to fraction form
    1,276.07/1,760.01 = 856.31/x
  3. Step 3: Cross multiply
    1,276.07x = 1,760.01 × 856.31
  4. Step 4: Simplify right side
    1,276.07x = 1,507,114.16
  5. Step 5: Solve for x
    x = 1,507,114.16/1,276.07
  6. Step 6: Final answer
    x = 1,181.06

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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.