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Finding the Fourth Proportional to 1,214.74, 1,821.65 and 392.79

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Solution

The fourth proportional to 1,214.74, 1,821.65 and 392.79 is: 589.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.74 : 1,821.65 = 392.79 : x
  2. Step 2: Convert to fraction form
    1,214.74/1,821.65 = 392.79/x
  3. Step 3: Cross multiply
    1,214.74x = 1,821.65 × 392.79
  4. Step 4: Simplify right side
    1,214.74x = 715,525.90
  5. Step 5: Solve for x
    x = 715,525.90/1,214.74
  6. Step 6: Final answer
    x = 589.04

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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.