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Finding the Fourth Proportional to 1,412.09, 2,118.30 and 590.93

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Solution

The fourth proportional to 1,412.09, 2,118.30 and 590.93 is: 886.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.09 : 2,118.30 = 590.93 : x
  2. Step 2: Convert to fraction form
    1,412.09/2,118.30 = 590.93/x
  3. Step 3: Cross multiply
    1,412.09x = 2,118.30 × 590.93
  4. Step 4: Simplify right side
    1,412.09x = 1,251,767.02
  5. Step 5: Solve for x
    x = 1,251,767.02/1,412.09
  6. Step 6: Final answer
    x = 886.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.