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Finding the Fourth Proportional to 701.80, 1,051.41 and 586.99

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Solution

The fourth proportional to 701.80, 1,051.41 and 586.99 is: 879.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.80 : 1,051.41 = 586.99 : x
  2. Step 2: Convert to fraction form
    701.80/1,051.41 = 586.99/x
  3. Step 3: Cross multiply
    701.80x = 1,051.41 × 586.99
  4. Step 4: Simplify right side
    701.80x = 617,167.16
  5. Step 5: Solve for x
    x = 617,167.16/701.80
  6. Step 6: Final answer
    x = 879.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.