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Finding the Fourth Proportional to 1,059.97, 1,462.77 and 587.87

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Solution

The fourth proportional to 1,059.97, 1,462.77 and 587.87 is: 811.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.97 : 1,462.77 = 587.87 : x
  2. Step 2: Convert to fraction form
    1,059.97/1,462.77 = 587.87/x
  3. Step 3: Cross multiply
    1,059.97x = 1,462.77 × 587.87
  4. Step 4: Simplify right side
    1,059.97x = 859,918.60
  5. Step 5: Solve for x
    x = 859,918.60/1,059.97
  6. Step 6: Final answer
    x = 811.27

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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.