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Finding the Fourth Proportional to 957.11, 1,435.12 and 567.16

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Solution

The fourth proportional to 957.11, 1,435.12 and 567.16 is: 850.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.11 : 1,435.12 = 567.16 : x
  2. Step 2: Convert to fraction form
    957.11/1,435.12 = 567.16/x
  3. Step 3: Cross multiply
    957.11x = 1,435.12 × 567.16
  4. Step 4: Simplify right side
    957.11x = 813,937.65
  5. Step 5: Solve for x
    x = 813,937.65/957.11
  6. Step 6: Final answer
    x = 850.42

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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.