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Finding the Fourth Proportional to 859.24, 1,278.41 and 856.36

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Solution

The fourth proportional to 859.24, 1,278.41 and 856.36 is: 1,274.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.24 : 1,278.41 = 856.36 : x
  2. Step 2: Convert to fraction form
    859.24/1,278.41 = 856.36/x
  3. Step 3: Cross multiply
    859.24x = 1,278.41 × 856.36
  4. Step 4: Simplify right side
    859.24x = 1,094,779.19
  5. Step 5: Solve for x
    x = 1,094,779.19/859.24
  6. Step 6: Final answer
    x = 1,274.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.