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Finding the Fourth Proportional to 847.15, 1,269.86 and 572.59

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Solution

The fourth proportional to 847.15, 1,269.86 and 572.59 is: 858.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.15 : 1,269.86 = 572.59 : x
  2. Step 2: Convert to fraction form
    847.15/1,269.86 = 572.59/x
  3. Step 3: Cross multiply
    847.15x = 1,269.86 × 572.59
  4. Step 4: Simplify right side
    847.15x = 727,109.14
  5. Step 5: Solve for x
    x = 727,109.14/847.15
  6. Step 6: Final answer
    x = 858.30

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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.