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Finding the Fourth Proportional to 896.95, 1,342.87 and 588.13

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Solution

The fourth proportional to 896.95, 1,342.87 and 588.13 is: 880.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.95 : 1,342.87 = 588.13 : x
  2. Step 2: Convert to fraction form
    896.95/1,342.87 = 588.13/x
  3. Step 3: Cross multiply
    896.95x = 1,342.87 × 588.13
  4. Step 4: Simplify right side
    896.95x = 789,782.13
  5. Step 5: Solve for x
    x = 789,782.13/896.95
  6. Step 6: Final answer
    x = 880.52

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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.