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Finding the Fourth Proportional to 1,412.86, 2,119.20 and 590.86

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Solution

The fourth proportional to 1,412.86, 2,119.20 and 590.86 is: 886.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.86 : 2,119.20 = 590.86 : x
  2. Step 2: Convert to fraction form
    1,412.86/2,119.20 = 590.86/x
  3. Step 3: Cross multiply
    1,412.86x = 2,119.20 × 590.86
  4. Step 4: Simplify right side
    1,412.86x = 1,252,150.51
  5. Step 5: Solve for x
    x = 1,252,150.51/1,412.86
  6. Step 6: Final answer
    x = 886.25

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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.