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Finding the Fourth Proportional to 1,278.39, 1,765.04 and 859.37

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Solution

The fourth proportional to 1,278.39, 1,765.04 and 859.37 is: 1,186.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.39 : 1,765.04 = 859.37 : x
  2. Step 2: Convert to fraction form
    1,278.39/1,765.04 = 859.37/x
  3. Step 3: Cross multiply
    1,278.39x = 1,765.04 × 859.37
  4. Step 4: Simplify right side
    1,278.39x = 1,516,809.30
  5. Step 5: Solve for x
    x = 1,516,809.30/1,278.39
  6. Step 6: Final answer
    x = 1,186.50

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1.5x scale

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.