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Finding the Fourth Proportional to 958.53, 1,435.83 and 567.35

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Solution

The fourth proportional to 958.53, 1,435.83 and 567.35 is: 849.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.53 : 1,435.83 = 567.35 : x
  2. Step 2: Convert to fraction form
    958.53/1,435.83 = 567.35/x
  3. Step 3: Cross multiply
    958.53x = 1,435.83 × 567.35
  4. Step 4: Simplify right side
    958.53x = 814,618.15
  5. Step 5: Solve for x
    x = 814,618.15/958.53
  6. Step 6: Final answer
    x = 849.86

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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.