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Finding the Fourth Proportional to 1,059.35, 1,461.92 and 587.27

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Solution

The fourth proportional to 1,059.35, 1,461.92 and 587.27 is: 810.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.35 : 1,461.92 = 587.27 : x
  2. Step 2: Convert to fraction form
    1,059.35/1,461.92 = 587.27/x
  3. Step 3: Cross multiply
    1,059.35x = 1,461.92 × 587.27
  4. Step 4: Simplify right side
    1,059.35x = 858,531.51
  5. Step 5: Solve for x
    x = 858,531.51/1,059.35
  6. Step 6: Final answer
    x = 810.44

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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.