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Finding the Fourth Proportional to 871.24, 1,305.24 and 524.20

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Solution

The fourth proportional to 871.24, 1,305.24 and 524.20 is: 785.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.24 : 1,305.24 = 524.20 : x
  2. Step 2: Convert to fraction form
    871.24/1,305.24 = 524.20/x
  3. Step 3: Cross multiply
    871.24x = 1,305.24 × 524.20
  4. Step 4: Simplify right side
    871.24x = 684,206.81
  5. Step 5: Solve for x
    x = 684,206.81/871.24
  6. Step 6: Final answer
    x = 785.33

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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.