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Finding the Fourth Proportional to 1,214.51, 1,822.03 and 348.75

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Solution

The fourth proportional to 1,214.51, 1,822.03 and 348.75 is: 523.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.51 : 1,822.03 = 348.75 : x
  2. Step 2: Convert to fraction form
    1,214.51/1,822.03 = 348.75/x
  3. Step 3: Cross multiply
    1,214.51x = 1,822.03 × 348.75
  4. Step 4: Simplify right side
    1,214.51x = 635,432.09
  5. Step 5: Solve for x
    x = 635,432.09/1,214.51
  6. Step 6: Final answer
    x = 523.20

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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.