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Finding the Fourth Proportional to 1,147.04, 1,578.84 and 847.72

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Solution

The fourth proportional to 1,147.04, 1,578.84 and 847.72 is: 1,166.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.04 : 1,578.84 = 847.72 : x
  2. Step 2: Convert to fraction form
    1,147.04/1,578.84 = 847.72/x
  3. Step 3: Cross multiply
    1,147.04x = 1,578.84 × 847.72
  4. Step 4: Simplify right side
    1,147.04x = 1,338,414.24
  5. Step 5: Solve for x
    x = 1,338,414.24/1,147.04
  6. Step 6: Final answer
    x = 1,166.84

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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.