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Finding the Fourth Proportional to 1,214.15, 1,822.08 and 483.93

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Solution

The fourth proportional to 1,214.15, 1,822.08 and 483.93 is: 726.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.15 : 1,822.08 = 483.93 : x
  2. Step 2: Convert to fraction form
    1,214.15/1,822.08 = 483.93/x
  3. Step 3: Cross multiply
    1,214.15x = 1,822.08 × 483.93
  4. Step 4: Simplify right side
    1,214.15x = 881,759.17
  5. Step 5: Solve for x
    x = 881,759.17/1,214.15
  6. Step 6: Final answer
    x = 726.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.