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Finding the Fourth Proportional to 1,214.76, 1,821.08 and 547.14

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Solution

The fourth proportional to 1,214.76, 1,821.08 and 547.14 is: 820.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.76 : 1,821.08 = 547.14 : x
  2. Step 2: Convert to fraction form
    1,214.76/1,821.08 = 547.14/x
  3. Step 3: Cross multiply
    1,214.76x = 1,821.08 × 547.14
  4. Step 4: Simplify right side
    1,214.76x = 996,385.71
  5. Step 5: Solve for x
    x = 996,385.71/1,214.76
  6. Step 6: Final answer
    x = 820.23

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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.