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Finding the Fourth Proportional to 1,214.58, 1,822.04 and 484.10

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Solution

The fourth proportional to 1,214.58, 1,822.04 and 484.10 is: 726.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.58 : 1,822.04 = 484.10 : x
  2. Step 2: Convert to fraction form
    1,214.58/1,822.04 = 484.10/x
  3. Step 3: Cross multiply
    1,214.58x = 1,822.04 × 484.10
  4. Step 4: Simplify right side
    1,214.58x = 882,054.53
  5. Step 5: Solve for x
    x = 882,054.53/1,214.58
  6. Step 6: Final answer
    x = 726.22

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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.