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Finding the Fourth Proportional to 1,412.58, 2,119.77 and 591.42

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Solution

The fourth proportional to 1,412.58, 2,119.77 and 591.42 is: 887.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.58 : 2,119.77 = 591.42 : x
  2. Step 2: Convert to fraction form
    1,412.58/2,119.77 = 591.42/x
  3. Step 3: Cross multiply
    1,412.58x = 2,119.77 × 591.42
  4. Step 4: Simplify right side
    1,412.58x = 1,253,674.37
  5. Step 5: Solve for x
    x = 1,253,674.37/1,412.58
  6. Step 6: Final answer
    x = 887.51

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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.