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Finding the Fourth Proportional to 1,160.31, 1,599.98 and 824.05

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Solution

The fourth proportional to 1,160.31, 1,599.98 and 824.05 is: 1,136.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.31 : 1,599.98 = 824.05 : x
  2. Step 2: Convert to fraction form
    1,160.31/1,599.98 = 824.05/x
  3. Step 3: Cross multiply
    1,160.31x = 1,599.98 × 824.05
  4. Step 4: Simplify right side
    1,160.31x = 1,318,474.56
  5. Step 5: Solve for x
    x = 1,318,474.56/1,160.31
  6. Step 6: Final answer
    x = 1,136.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.