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Finding the Fourth Proportional to 1,412.34, 2,118.07 and 590.45

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Solution

The fourth proportional to 1,412.34, 2,118.07 and 590.45 is: 885.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.34 : 2,118.07 = 590.45 : x
  2. Step 2: Convert to fraction form
    1,412.34/2,118.07 = 590.45/x
  3. Step 3: Cross multiply
    1,412.34x = 2,118.07 × 590.45
  4. Step 4: Simplify right side
    1,412.34x = 1,250,600.89
  5. Step 5: Solve for x
    x = 1,250,600.89/1,412.34
  6. Step 6: Final answer
    x = 885.48

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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.