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Finding the Fourth Proportional to 1,214.81, 1,821.58 and 434.51

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Solution

The fourth proportional to 1,214.81, 1,821.58 and 434.51 is: 651.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.81 : 1,821.58 = 434.51 : x
  2. Step 2: Convert to fraction form
    1,214.81/1,821.58 = 434.51/x
  3. Step 3: Cross multiply
    1,214.81x = 1,821.58 × 434.51
  4. Step 4: Simplify right side
    1,214.81x = 791,494.73
  5. Step 5: Solve for x
    x = 791,494.73/1,214.81
  6. Step 6: Final answer
    x = 651.54

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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.