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Finding the Fourth Proportional to 1,214.18, 1,675.24 and 820.52

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Solution

The fourth proportional to 1,214.18, 1,675.24 and 820.52 is: 1,132.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.18 : 1,675.24 = 820.52 : x
  2. Step 2: Convert to fraction form
    1,214.18/1,675.24 = 820.52/x
  3. Step 3: Cross multiply
    1,214.18x = 1,675.24 × 820.52
  4. Step 4: Simplify right side
    1,214.18x = 1,374,557.50
  5. Step 5: Solve for x
    x = 1,374,557.50/1,214.18
  6. Step 6: Final answer
    x = 1,132.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.