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Finding the Fourth Proportional to 835.71, 1,253.16 and 589.20

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Solution

The fourth proportional to 835.71, 1,253.16 and 589.20 is: 883.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.71 : 1,253.16 = 589.20 : x
  2. Step 2: Convert to fraction form
    835.71/1,253.16 = 589.20/x
  3. Step 3: Cross multiply
    835.71x = 1,253.16 × 589.20
  4. Step 4: Simplify right side
    835.71x = 738,361.87
  5. Step 5: Solve for x
    x = 738,361.87/835.71
  6. Step 6: Final answer
    x = 883.51

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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.