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Finding the Fourth Proportional to 956.68, 1,435.23 and 340.83

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Solution

The fourth proportional to 956.68, 1,435.23 and 340.83 is: 511.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.68 : 1,435.23 = 340.83 : x
  2. Step 2: Convert to fraction form
    956.68/1,435.23 = 340.83/x
  3. Step 3: Cross multiply
    956.68x = 1,435.23 × 340.83
  4. Step 4: Simplify right side
    956.68x = 489,169.44
  5. Step 5: Solve for x
    x = 489,169.44/956.68
  6. Step 6: Final answer
    x = 511.32

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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.