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Finding the Fourth Proportional to 1,214.84, 1,821.28 and 392.60

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Solution

The fourth proportional to 1,214.84, 1,821.28 and 392.60 is: 588.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.84 : 1,821.28 = 392.60 : x
  2. Step 2: Convert to fraction form
    1,214.84/1,821.28 = 392.60/x
  3. Step 3: Cross multiply
    1,214.84x = 1,821.28 × 392.60
  4. Step 4: Simplify right side
    1,214.84x = 715,034.53
  5. Step 5: Solve for x
    x = 715,034.53/1,214.84
  6. Step 6: Final answer
    x = 588.58

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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.