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Finding the Fourth Proportional to 1,059.35, 1,461.92 and 587.22

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Solution

The fourth proportional to 1,059.35, 1,461.92 and 587.22 is: 810.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.35 : 1,461.92 = 587.22 : x
  2. Step 2: Convert to fraction form
    1,059.35/1,461.92 = 587.22/x
  3. Step 3: Cross multiply
    1,059.35x = 1,461.92 × 587.22
  4. Step 4: Simplify right side
    1,059.35x = 858,460.24
  5. Step 5: Solve for x
    x = 858,460.24/1,059.35
  6. Step 6: Final answer
    x = 810.37

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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.