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Finding the Fourth Proportional to 957.42, 1,435.38 and 781.20

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Solution

The fourth proportional to 957.42, 1,435.38 and 781.20 is: 1,171.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.42 : 1,435.38 = 781.20 : x
  2. Step 2: Convert to fraction form
    957.42/1,435.38 = 781.20/x
  3. Step 3: Cross multiply
    957.42x = 1,435.38 × 781.20
  4. Step 4: Simplify right side
    957.42x = 1,121,318.86
  5. Step 5: Solve for x
    x = 1,121,318.86/957.42
  6. Step 6: Final answer
    x = 1,171.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.