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Finding the Fourth Proportional to 940.79, 1,410.71 and 392.83

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Solution

The fourth proportional to 940.79, 1,410.71 and 392.83 is: 589.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.79 : 1,410.71 = 392.83 : x
  2. Step 2: Convert to fraction form
    940.79/1,410.71 = 392.83/x
  3. Step 3: Cross multiply
    940.79x = 1,410.71 × 392.83
  4. Step 4: Simplify right side
    940.79x = 554,160.19
  5. Step 5: Solve for x
    x = 554,160.19/940.79
  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.