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Finding the Fourth Proportional to 1,059.49, 1,462.02 and 587.38

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Solution

The fourth proportional to 1,059.49, 1,462.02 and 587.38 is: 810.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.49 : 1,462.02 = 587.38 : x
  2. Step 2: Convert to fraction form
    1,059.49/1,462.02 = 587.38/x
  3. Step 3: Cross multiply
    1,059.49x = 1,462.02 × 587.38
  4. Step 4: Simplify right side
    1,059.49x = 858,761.31
  5. Step 5: Solve for x
    x = 858,761.31/1,059.49
  6. Step 6: Final answer
    x = 810.54

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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.